Solve the equation.
-$$x ^ { 6 } = 9 x ^ { 4 }$$
A) $\{ - 3,3 \}$
B) $\{ 0,3 \}$
C) $\{ - 3,0,3 \}$
D) $\{ 0,9 \}$

Question

Quizplus · Accepted Answer

To solve the equation $x^6 = 9x^4$, we can subtract $9x^4$ from both sides to get $x^6 - 9x^4 = 0$. Factoring out $x^4$, we get $x^4(x^2 - 9) = 0$. This gives us $x^4 = 0$ or $x^2 - 9 = 0$. Solving $x^4 = 0$ gives $x = 0$, and solving $x^2 - 9 = 0$ gives $x^2 = 9$, which leads to $x = 3$ or $x = -3$. Therefore, the solution set is $\{-3, 0, 3\}$.

Solve the Equation x6=9x4x ^ { 6 } = 9 x ^ { 4 }x6=9x4

Solve the Equation $x ^ { 6 } = 9 x ^ { 4 }$