Solve the equation. $9 x - x ^ { 2 } = 0$
A) $\{ 9 \}$
B) $\{ 9,0 \}$
C) $\{ 1,0 \}$
D) $\{ - 1,0 \}$
E) $\{ - 9,0 \}$

Name: Solve the equation. $9 x - x ^ { 2 } = 0$ A) $\{ 9 \}$ B) $\{ 9,0 \}$ C) $\{ 1,0 \}$ D) $\{ - 1,0 \}$ E) $\{ - 9,0 \}$
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Question

Quizplus · Accepted Answer

We can factor out an x from the equation to get $x(9-x)=0$. Then, using the zero product property, we can set each factor to 0: $x=0$ or $9-x=0 \Rightarrow x=9$. Therefore, the solution set is $\{0,9\}$, which corresponds to choice B.

Solve the Equation 9x−x2=09 x - x ^ { 2 } = 09x−x2=0

Solve the Equation $9 x - x ^ { 2 } = 0$