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MATHEMATICS LET a,b,c belongs toa set of real numbers.Suppose that there are real numbers x,y,z not all zero such that x=cy+bz,y=az+cx,& z=bx+ay.Then a to the power whole square+b to the power whole square+c to the power whole squqre+2abc is = to (1) 0 (2) 1 (3) 2 & (4) -1

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  • denise719 Jul 11, 2008

    I cannot calculate fractions on el 738 can somebody guide me on how to set up my calculators for fractions calculations.

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Roots of x2+3x+1=0

Posted on Jun 28, 2008


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How can I solve the aX^3+bX^2+cx+d=0?


There is no easy solution for a cubic equation such as this, unlike a quadratic equation which has a simple solution that we all learnt at secondary school.
Google for cubic or this gives a good explaination
http://www.mathcentre.ac.uk/resources/uploaded/mc-ty-cubicequations-2009-1.pdf

Nov 27, 2014 | Casio FX-82MS Scientific Calculator

1 Answer

How to find roots of a polynomial using fx 115 ms


It depends on the degree of the polynomial.
If polynomial is od degree 2 or 3 you can use the EQN mode (the equation MODE) by pressing [MODE][5:EQN] to enter Equation mode then press [3] for quadratic polynomial or [4] for a cubic one.
You will then be prompted for the various coefficients. The canonical form of these polynomials is aX^2 plus bX plus c= 0, and aX^3 plus bX^2 plus cX plus d=0.

If polynomial is of degree higher than 3, or for a general non-linear equation you must use the Solve( feature. See example #017 on page 6 of the appendix to the manual.

Nov 28, 2010 | Casio FX-115ES Scientific Calculator

1 Answer

Can I factor a polynomial with a Casio fx-9750GII calculator


The short story is that this calculator does have a computer algebra system or CAS and thus cannot factor polynomials with arbitrary (unknown) coefficients or known coefficients.
However if the coefficients are given you can ,if you are willing to travel that way, factor approximately a polynomial P(x).
Basically, the idea is that any polynomial P(X) of degree n can be written in the factored form (X-x_1)(X-x_2)...(X-x_n), where x_1, x_2, x_3,...x_n are the roots (real or complex) of the equation P(X)=0.


The procedure ( for a 3rd degree polynomial) is as follows: (the fixYa site parser will remove the plus signs, so I am writing the whole word plus instead of the mathematical sign
If you want to factor a cubic polynomial P3(X) = aX^3 plus bX^2 plus cX plus d , you write the corresponding cubic equation as aX^3 plus bX^2 plus cX plus d =0 , then you divide all terms of the equation by a to obtain

X^3 plus (b/a)X^2 plus (c/a)X plus (d/a)=0.

You use the calculator to solve (approximately) this equation.
Suppose you find the 3 roots X1,X2,and X3. Then the polynomial X^3 plus (b/a)X^2 plus (c/a)X plus (d/a) can be cast in the factored form (X-X1)(X-X2)(X-X3) and the original polynomial P3(X) can be written as

P3(X) = a*(X-X1)(X-X2)(X-X3)

You can handle the quadratic polynomial the same way.
P2(X) =a*(X-X1)(X-X2) where X1, X2 are the two real roots.

To find the various roots you must use the solve( application.

Nov 11, 2010 | Casio FX-9750GPlus Calculator

1 Answer

How to you factor trinomials


The short story is that this calculator does have a computer algebra system or CAS and thus cannot factor polynomials with arbitrary (unknown) coefficients or known coefficients.
However if the coefficients are given you can ,if you are willing to travel that way, factor approximately a polynomial P(x).
Basically, the idea is that any polynomial P(X) of degree n can be written in the factored form (X-x_1)(X-x_2)...(X-x_n), where x_1, x_2, x_3,...x_n are the roots (real or complex) of the equation P(X)=0.


The procedure ( for a 3rd degree polynomial) is as follows:
If you want to factor a cubic polynomial P3(X) = aX^3 bX^2 cX d , you write the corresponding cubic equation as aX^3 bX^2 cX d =0 , then you divide all terms of the equation by a to obtain

X^3 (b/a)X^2 (c/a)X (d/a)=0.

You use the calculator to solve (approximately) this equation.
Suppose you find the 3 roots X1,X2,and X3. Then the polynomial X^3 (b/a)X^2 (c/a)X (d/a) can be cast in the factored form (X-X1)(X-X2)(X-X3) and the original polynomial P3(X) can be written as

P3(X) = a*(X-X1)(X-X2)(X-X3)

You can handle the quadratic polynomial the same way.
P2(X) =a*(X-X1)(X-X2) where X1, X2 are the two real roots.

Sep 11, 2010 | Casio FX-9750GPlus Calculator

1 Answer

WHEN GRAPHING A CIRCLE ON THE TI83, THERE ARE POINTS MISSING.


Use the DRAW program.
Press [2nd][PRGM] (DRAW)
Select [9:Circle (]
Command echoes on main screen
Complete the command with coordinates of the center and the radiius
Close parenthesis and press [ENTER]
The circle is displayed.

Ex: Circle(0,3,2) draw a circle with cntere at (0,3) and radius equal to 2.

Alternatively: If the conics application is on the calculator run it.
Press [APPS]
Select [Conics]
Select [1:CIRCLE]
Choose the canonical form (X-H)^2 + (Y-K)^2=R^2 where H, and K are the coordinates of the center and R is the radius.
You will be prompted to enter the values for H,K, and R

You can also use the general equation for a circle aX^2 +aY^2+BX+CY +D=0
Enter the values of a, B, C and D.Change the values to get what you want.

Apr 01, 2010 | Texas Instruments TI-83 Plus Calculator

1 Answer

How do i find the variance if i'm given the x


Hello,
Set the [Mode] to [3:STAT]. You are offered the choices
1:1-Var
2:A+BX
3:__+cX^2
etc.
If you want to do 1-Var statistics, you press 1:1-Var. A column template opens where you put the X values. If a value is repeated you enter it several times. (there is no frequency column.)
When you enter all data you press [SHIFT][STAT]

You have several choices among them
4: SUM to get SigmaX^2 and Sigma X
5: VAR to get n, the mean X bar, the sample and population standard deviations
6:MINIMAX to get MinX and MaxX
7: Distr the Distributions.

If you want to perform 2-Var statistics
You press [MODE][STAT] and select one of the Regression models
2:A+BX
3:__+cX^2
etc.
The selection of any of the 7 regression models, opens a two-column template where you enter the X and Y values
When finished press [SHIFT][STAT]
The choices offered are
  1. Type takes you back to select type of statistics to perform
  2. Data To edit the data in the columns
  3. Edit To insert or delete a value
  4. SUM To access the calculated values of SigX^2,SigX,SigY^2,SigY,SigXY,SigX^3, SigX^2Y, SigX^4
  5. Var : To access the calculated values n, Xbar, Sample STD for x, S STD for Y, Pop STD for X, and Pop STD for Y
  6. MinMax : MinX, MinY, MaxX, MaxY
  7. Reg: Gives you the regression coefficients for the particular regression model you want to test.
The mean is represented by X bar.
The variance is the SQUARE of the Standard Deviation.
Hope it helps.

Nov 06, 2009 | Casio fx-300ES Calculator

1 Answer

Do i have only one type of exponencial regression o my 9850gb plus?


Hello,
Th CFX-9850GB Plus is programmed to perform 10 types of regressions, namely
LinearReg: Linear y=ax+b
Med-Med also linear y=ax+b
QuadReg :Quadratic y= ax^2+bx+c
Cubic: y=ax^3+bx^2+cx+d
Quartic: y=ax^4+bx^3+cx^2+dx+e
LogReg, logarithmic: y=a+b*ln(x)
ExpReg, exponential y=a*e^(bx)
PowerReg, power: y= ax^b
SinReg, sinusoidal: y=a*sin(bx+c) +d
LogisticReg, logistic; y= c/(1+a*e^(-bx))

There may be more regression models appropriate for more advanced (specialized) statistics but the ones in the list are all the CFX-9850GB plus offers. However, since the calculator knows a programming language, you may want to implement a particular model.

Hope that helps.

Oct 24, 2009 | Casio CFX 9850GB Plus Calculator

1 Answer

How to factor a polynomial equation on casio fx-300es?


Hello,
The Casio FX-300ES does not handle symbolic algebra. So it cannot factor a general polynomial expression. The methods can be found in any book on Algebra.
However if you are interested in approximate factorization of quadratic and cubic polynomials, you can use the calculator to do that. It can solve aX^3 +bX^2+cX+d =0 and the quadratic equations.

If you want to factor a cubic polynomial P3(X) = aX^3+bX^2+cX+d , you write the corresponding cubic equation as aX^3+bX^2+cX=d =0 , then you divide all terms of the equation by a to obtain

X^3+(b/a)X^2+(c/a)X+(d/a)=0.

You use the calculator to solve (approximately) this equation.
Suppose you find the 3 roots X1,X2,and X3. Then the polynomial X^3+(b/a)X^2+(c/a)X+(d/a) can be cast in the factored form (X-X1)(X-X2)(X-X3) and the original polynomial P3(X) can be written as

P3(X) = a*(X-X1)(X-X2)(X-X3)

You can handle the quadratic polynomial the same way.

P2(X) =a*(X-X1)(X-X2) where X1, X2 are the two real roots

Hope it helps.

Sep 27, 2009 | Casio fx-300ES Calculator

1 Answer

Functions?


Hello,
I am afraid I am missing something here. You can start with the expression of a function and have it graphed on a graphing calculator.
Or you can enter the experimental data, represent them on a graphing calculator and ask the calculator to find the curve that fits the data best, and once that curve is found to give you the equation.
However your calculator does not have the graphing capabilities. All you can do is enter the data and ask the calculator to perform a regression to obtain the expression of the function that fits best.

The available options for the calculator are accessible by pressing [MODE][3:Stat] and
2. A+BX linear
3: _+cX^2 quadratic
4: ln X logarithmic
5: e^X exponential
6:A*B^X power
7: A*X^B Polynomial
8: 1/X

Hope it helps.

Apr 14, 2009 | Casio fx-300ES Calculator

1 Answer

Graphing circles


You have two methods for drawing a circle on the FX-9750GPlus.
  1. Use the Conics graphing: The general equation of a circle is aX^2 + aY^2 + bX+cY+d=0
  2. Use the function graphing. But before you can do that you must transform the general equation (above) in such a way that you can write it as Y^2= X^2+EX+F. From this you can find the two branches Y1=SQRT(X^2+EX+F) and Y2=-SQRT(X^2+EX+F)

Oct 09, 2007 | Casio FX-9750GPlus Calculator

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