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Quadratic functions f(x) = ax^2 - 6x - 7 if f(2) = 3?

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Substitute 2 for x, 3 for f(2). This gives you an equation with a as an unknown
3=a*(2^2)-6(2)-7
3=4a-12-7
4a=3+12+7=22 or a=22/4=11/2
Check
11/2*4-12-7=3 Checks OK

Posted on Oct 20, 2013

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The calculator cannot do symbolic algebra. If equation is aX^2+bX+c=0, write it in the form a(X^2+(b/a)X+(c/a))=0 and solve the quadratic equation X^2+(b/a)X+(c/a)=0. Get the approximate roots X1, and X2 (if they exist) and write your original equation in the for
a(X-X1)(X-X2)=0

May 28, 2014 | Casio Office Equipment & Supplies

Y=aX^2+bX+c

The x-coordinate of the vertex is given by
X_v=-b/2a
With a=-2, and X_v=8 you have b=-2a*X_v=-2(-2)*8=32
The equation can now be written as y=-2X^2+32X+c
To get c you substitute the value of X_v in the equation above and you set the result equal to Y_v=-4
-2(8)^2+32(8)+c=-4
Solve for c
c=-4+128-256=-132
y=-2X^2+32X-132

Nov 21, 2013 | Office Equipment & Supplies

How can i solve quadratic equation (aX^2+bX+c=0) with my BA II plus texas instrument calculator?

The BAIIPlus doesn't have anything specifically for solving quadratic equations. You can simply plug the coefficients a, b, and c into the quadratic formula.

Oct 03, 2013 | Texas Instruments Office Equipment &...

What are the equations and its kinds?

Definition

A mathematical statement used to evaluate a value. An equation can use any combination of mathematical operations, including addition, subtraction, division, or multiplication. An equation can be already established due to the properties of numbers (2 + 2 = 4), or can be filled solely with variables which can be replaced with numerical values to get a resulting value. For example, the equation to calculate return on sales is: Net income ÷ Sales revenue = Return on Sales. When the values for net income and sales revenue are plugged into the equation, you are able to calculate the value of return on sales.

There are many types of mathematical equations.

1. Linear Equations y= mx + b (standard form of linear equation)
3. Exponential Equations y= ab^x
4. Cubic Equations y=ax^3+ bx^2+cx+d
5. Quartic Equations y= ax^4+ bx^3+ cx^2+ dx+ e
6. Equation of a circle (x-h)^2+(y-k)^2= r^2
7. Constant equation y= 9 (basically y has to equal a number for it to be a constant equation).
8. Proportional equations y=kx; y= k/x, etc.

Jun 14, 2011 | Computers & Internet

How do you do quadratic equation

If your equation is ax^2 + bx + c = 0 then the quadratic equation is . Just plug the corresponding numbers into the formula and you will get the answers.

May 11, 2011 | Sharp ELW535 Calculator

How to program the calculator TI-nspire to solve the quadratic formula

Whay would you want to go through the hassle of writing a program to solve to solve a quadratic equation`The calculator has two buit-in command to do just that. It has Solve and cSolve (for complex solutions).

Open a calculator sheet, and on the command line, type in solve(ax^2+bx+c=0, x), press ENTER and wait for the solutions

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How to find roots of a polynomial using fx 115 ms

It depends on the degree of the polynomial.
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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

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
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.

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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.

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