Casio FX-115ES Scientific Calculator
Problem for Casio FX-115ES Scientific Calculator

How do I use the solve function




By martinezmbea on Oct 11, 2009

" "
how do I use the solve function

Clarification Request

Posted by k24674 on Oct 12, 2009

Hello, First of all, you have to set the mode to EQUATION by pressing [MODE][5:Equation]. When you do that, you are offered 4 choices of equation types to solve. PART 1 a_n*X+b_n*Y=C_n. In this type, you have only 2 unknows, X, Y, the others are coefficients. When this mode is selected, you are given access to a what looks like a matrix. The top row, inaccessible to you, displays headings a, b, c The first column, also inaccessible to you numbers the lines as (1 and 2) First line Enter the coefficient of X in the first equation, a_1, and press [=] Cursor moves to the dark rectangle under the b heading. Enter the coefficient of Y, (b_1) in the first equation and press [=] Cursor moves to the dark rectangle under heading c. Enter the constant term in the first equation, C_1, and press [=] At this stage you have finished entering the coefficients and constant term of the first linear equation of your system, namely a_1*X+b_1*Y= C_1 After you enter C_1 and press [ENTER] the cursor moves to the Second Line On this line, just as in the previous one, you enter a_2, b_2 and c_2 Once you finish entering all coefficients and constant terms you press [ENTER]. Calculator does its thing and returns with a solution and displays at the top left of the screen X= and on the bottom right the value for X ( a fraction or a decimal number) Press [=] again and the screen displays the value of the second unknown Y. If you press [=] a third time the claculator takes you back to the entry screen to modifiy coefficients and constant terms. Exemple a_1=6 b_1=3 c_1=7 a_2=5 b_2=8.3 c_2=1 X= 19/12 To convert it to decimal press [S<->D] to get 1.58333 Y=-5/6 To convert it to decimal press [S<->D] to get -0.8333333 PART B a_n*X+b_n*Y+c_n*Z =D_n This is a linear system in 3 unknowns X, Y, X. It requires a_1, b_1, c_1, and d_1 a_2, b_2, c_2, and d_2 a_3, b_3, c_3 and d_3. Procedure to enter the coefficients and constant terms is the same as above, but due to the limited screen, you have to use right arrow to access the places where you enter d_1, d_2. d_3. When finished you have to press [=] 1 time to get X, a second time to get Y, and a third time to get Z. PART C aX^2 + bX +c=0 (quadratic equation) You enter a, b, and c in the template. When finished press[ENTER] once to get X1, and a second time to get X2. PART D aX^3 +bX^2+cX+d =0 (cubic equation) Same procedure as Part C, except that you have to enter a, b, c, and d in template and press [=] 1 time to get X1, a second time to get X2, and a third time to get X3. Hope it helps.

Solution #1

posted on Oct 12, 2009
Not Rated)

k24674

Rank: Guru  Casio Office Equipment  Expert
Rating: 87%, 676 votes
Hello,
First of all, you have to set the mode to EQUATION by pressing [MODE][5:Equation]. When you do that, you are offered 4 choices of equation types to solve.

PART 1 a_n*X+b_n*Y=C_n.

In this type, you have only 2 unknows, X, Y, the others are coefficients. When this mode is selected, you are given access to a what looks like a matrix.
The top row, inaccessible to you, displays headings a, b, c.
The first column, also inaccessible to you numbers the lines as (1 and 2)
First line
Enter the coefficient of X in the first equation, a_1, and press [=] Cursor moves to the dark rectangle under the b heading.
Enter the coefficient of Y, (b_1) in the first equation and press [=] Cursor moves to the dark rectangle under heading c.
Enter the constant term in the first equation, C_1, and press [=]

At this stage you have finished entering the coefficients and constant term of the first linear equation of your system, namely
a_1*X+b_1*Y= C_1

After you enter C_1 and press [ENTER] the cursor moves to the

Second Line

On this line, just as in the previous one, you enter a_2, b_2 and c_2 Once you finish entering all coefficients and constant terms you press [ENTER].

Calculator does its thing and returns with a solution and displays at the top left of the screen
X=
and on the bottom right the value for X ( a fraction or a decimal number)
Press [=] again and the screen displays the value of the second unknown Y.
If you press [=] a third time the claculator takes you back to the entry screen to modifiy coefficients and constant terms.

Exemple a_1=6 b_1=3 c_1=7 a_2=5 b_2=8.3 c_2=1
X= 19/12 To convert it to decimal press [S<->D] to get 1.58333 Y=-5/6 To convert it to decimal press [S<->D] to get -0.8333333

PART B a_n*X+b_n*Y+c_n*Z =D_n This is a linear system in 3 unknowns X, Y, X.
It requires
a_1, b_1, c_1, and d_1
a_2, b_2, c_2, and d_2
a_3, b_3, c_3 and d_3.
Procedure to enter the coefficients and constant terms is the same as above, but due to the limited screen, you have to use right arrow to access the places where you enter d_1, d_2. d_3.

When finished you have to press [=] 1 time to get X, a second time to get Y, and a third time to get Z.

PART C aX^2 + bX +c=0 (quadratic equation)
You enter a, b, and c in the template.

When finished press[ENTER] once to get X1, and a second time to get X2.

PART D aX^3 +bX^2+cX+d =0 (cubic equation)

Same procedure as Part C, except that you have to enter a, b, c, and d in template and press [=] 1 time to get X1, a second time to get X2, and a third time to get X3.

Hope it helps.

PS to the power that be of this site, if you are listening: We ought to have prompts to confirm the post before validating it. We ought to be able to correct typos, errors; to amend what we entered.

Comments:

Nov 01, 2009

- Sorry I answered the wrong question. This is not using the solve ( function available on this calculator.
1. Enter an equation, say Y=A*X^2-0.5*X+ B. To enter the = sign in this expression, use [ALPHA][SOLVE] (=)

By default the unknown is X
2. Before pressing anything else press [SHIFT][Solve]
You are prompted for the values by order of first appearance (Y, then A, then B). You will not be prompted for X, because it is the unknown by default.
At the prompt Y? :enter the value of Y and press =
At the prompt A? : enter the value of A and press =
At the prompt B? :enter the value of B and press =

Then the screen displays SOLVE for X with some other value on second line. Enter your estimate (your guess) and press =

If it comes back with cannot solve, restart with same values, but give a better guess for X.

When a solution is found the screen displays on 3 lines
The equation you entered : Y=
The value of X : X=
L-R (left member - right member) = 0 or a very small number.
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