SOLUTION: solve t^2=9

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Question 243233: solve t^2=9
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Subtract 9 from both sides.
x%5E2+-9+=+0
I hope you see that you can factor this easily because 9 is a perfect square (3*3), and that you do not need an 'x' value, and that it is -9.
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If you memorized x%5E2+-1+=+%28x%2B1%29%28x-1%29 you can substitute any perfect square for the '1'.
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So the solution is,
(x+3)(x-3)=0
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So, x can = 3 or -3.
That is the same as saying the square root of 9 can be either +3 or - 3, which is true.
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That suggests we could have solved the problem by taking the square root of each side first.
sqrt%28x%5E2%29=sqrt%289%29
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The square root of x^2 is simply + or - x.
The square root of 9 is simply + or - 3.