Solve for x.
-$e ^ { 1 + x ^ { 2 } }$ = $e ^ { x + 7 }$
A) x = -2, 3
B) x = -2, -1
C) x = 1, 2
D) none of these

Name: Solve for x. -$e ^ { 1 + x ^ { 2 } }$ = $e ^ { x + 7 }$ A) x = -2, 3 B) x = -2, -1 C) x = 1, 2 D) none of these
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Question

Solve for x. 
-$e ^ { 1 + x ^ { 2 } }$ = $e ^ { x + 7 }$
A) x = -2, 3
B) x = -2, -1
C) x = 1, 2
D) none of these

Quizplus · Accepted Answer

Since the bases of the exponents are the same, we can set the exponents equal to each other: $1 + x^2 = x + 7$. Rearranging gives $x^2 - x - 6 = 0$, which factors to $(x-3)(x+2) = 0$, yielding solutions $x = 3$ and $x = -2$.

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