SOLUTION: Solve the equation for all values of x. 9^(x^2+x)=3^4

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Question 404460: Solve the equation for all values of x. 9^(x^2+x)=3^4
Found 2 solutions by robertb, scott8148:
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
+9%5E%28x%5E2%2Bx%29=3%5E4 <==> +9%5E%28x%5E2%2Bx%29=9%5E2
<==> x%5E2%2Bx=2 ==> x%5E2%2Bx+-+2=0
==> (x+2)(x-1) = 0 ==> x = -2, 1.
Both values satisfy the original equation.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
3^4 = (3^2)^2 = 9^2

x^2 + x = 2

x^2 + x - 2 = 0

factoring ___ (x + 2)(x - 1) = 0

x = -2 ___ AND ___ x = 1