Eddie's Math and Calculator Blog: TI-84 Plus CE: Solving Algebraic Equations Step by Step

TI-84 Plus CE: Solving Algebraic Equation Scripts

Introduction

There are four programs that uses the wait and string commands to provide a step by step instruction on how to solve the following four equations:

1. a * x + b = c
2. a * x^n + b = c
3. a^x = b
4, (a + x)^2 = b

We will need the TI-84 Plus CE. The original TI-84 Plus with the monochrome screen will not have the necessary commands.

ALGDEMO1

"EWS 2019-05-30"
Disp "SOLVE AX + B = C"
Prompt A,B,C
(C-B)/A→X
ClrHome
Disp toString(A)+"X + "+toString(B)+" = "+toString(C)
Wait 1.5
Disp toString(A)+"X + "+toString(B)+" - "+toString(B)+" = "+toString(C)+" - "+toString(B)
Wait 1.5
Disp toString(A)+"X = "+toString(C-B)
Wait 1.5
Disp toString(A)+" X / "+toString(A)+" = "+toString(C-B)+" / "+toString(A)
Wait 1.5
Disp "X = "+toString(X)

ALGDEMO2

"EWS 2019-05-30"
Disp "SOLVE AX^N+B=C"
Prompt A,B,C,N
((C-B)/A)^(1/N)→X
ClrHome
Disp toString(A)+"X^"+toString(N)+"+"+toString(B)+"="+toString(C)
Wait 1.5
Disp toString(A)+"X^"+toString(N)+"+"+toString(B)+"-"+toString(B)+"="+toString(C)+"-"+toString(B)
Wait 1.5
Disp toString(A)+"X^"+toString(N)+"="+toString(C-B)
Wait 1.5
Disp toString(A)+"X^"+toString(N)+"/"+toString(A)+"="+toString(C-B)+"/"+toString(A)
Wait 1.5
Disp "X^"+toString(N)+"="+toString((C-B)/A)
Wait 1.5
Disp "X"+"="+toString((C-B)/A)+"^(1/"+toString(N)+")"
Wait 1.5
Disp "PRINCIPAL ROOT:","X="+toString(X)

ALGDEMO3

"EWS 2019-05-30"
Disp "SOLVE A^X=B"
Prompt A,B
log(B)/log(A)→X
ClrHome
Disp toString(A)+"^X="+toString(B)
Wait 1.5
Disp "log("+toString(A)+")^X=log("+toString(B)+")"
Wait 1.5
Disp "X log("+toString(A)+")=log("+toString(B)+")"
Wait 1.5
Disp "DIVIDE BY log("+toString(A)+")"
Wait 1.5
Disp "X = "+toString(X)

ALGDEMO4

"EWS 2019-05-30"
Disp "SOLVE (A+X)^2=B"
Prompt A,B
√(B)-A→X
√(B)-A→Y
ClrHome
Disp "("+toString(A)+"+X)^2="+toString(B)
Wait 1.5
Disp toString(A)+"+X=+-√("+toString(B)+")"
Wait 1.5
Disp toString(A)+"+X-"+toString(A)+"=+-√("+toString(B)+")-"+toString(A)
Wait 1.5
Disp "X=+-√("+toString(B)+")-"+toString(A)
Wait 1.5
Disp "TWO ROOTS:"
Disp "X = "+toString(X)
Disp "X = "+toString(Y)

Eddie

All original content copyright, © 2011-2019. Edward Shore. Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited. This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author

Thursday, August 1, 2019

TI-84 Plus CE: Solving Algebraic Equations Step by Step