Thursday, February 4, 2010

TI-89: How do I verify an equation as true or false?

On a TI-84, you type the equation then hit enter. It will say 1 if true and 0 if false. So if you enter 4+5=11 it says 0.





It's probably the same on the 89, try it.TI-89: How do I verify an equation as true or false?
The way you confirm an equation is correct is that you change one side of the equation until it matches the other.


For example, you want to know if (x+1)^3 = x^3 + 3x^2 + 3x + 1.


you can either factor the right hand side until it matches the left, or expand the left side until it matches the right. I'm going to do the latter :


(x+1)(x+1)(x+1)


(x^2 +2x+1)(x+1)


x(x^2+2x+1) +(x^2+2x+1)


x^3+2x^2+x + x^2+2x + 1


x^3 + 3x^2+3x+1


This matches the right hand side, so that proves the equation is correct. BTW: it is easier to prove that an equation is false: just find a single number where it is false and you're done.TI-89: How do I verify an equation as true or false?
I have a ti-89 titanium. If you want to solve it in the calculator go to home and:


-Select F2-solve(


-Then write the formulaEX(solve(3x+4+x=5x-3


-Then put a coma(,)(solve(3x+4+x=5x-3,


And then the letter you want to solve for


So:





Solve(3x+4+x=5x-3,x)


X=7








Now you can check if the answer is right by substituting The X's for (7).





(3(7)+4+(7)=5(7)-3) Enter


Then you will see a ';True';

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