Thursday, August 1, 2019

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

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