Solve the equation. Write the solution set with the exact solutions. Also give approximate solutions to 4
decimal places if necessary.
-$$x ^ { 2 } e ^ { x } = 64 e ^ { x }$$
A) $\{ 8 \}$
B) $\{ 8 , - 8 \}$
C) $\{ - 8 \}$
D){ }

Question

Solve the equation. Write the solution set with the exact solutions. Also give approximate solutions to 4
decimal places if necessary.
-$$x ^ { 2 } e ^ { x } = 64 e ^ { x }$$
A) $\{ 8 \}$
B) $\{ 8 , - 8 \}$
C) $\{ - 8 \}$
D){  }

Quizplus · Accepted Answer

The equation can be simplified by dividing both sides by $e^x$, assuming $e^x \neq 0$, which gives $x^2 = 64$. Solving for $x$ yields $x = \pm 8$, hence the solution set is $\{8, -8\}$.

Solve the Equation x2ex=64exx ^ { 2 } e ^ { x } = 64 e ^ { x }x2ex=64ex

Solve the Equation $x ^ { 2 } e ^ { x } = 64 e ^ { x }$