Solve.
-$\sqrt { x ^ { 2 } - 3 x + 54 } = x + 3$
A) $- 5$
B) 8
C) 2
D) 5

Name: Solve. -$\sqrt { x ^ { 2 } - 3 x + 54 } = x + 3$ A) $- 5$ B) 8 C) 2 D) 5
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Question

Quizplus · Accepted Answer

Squaring both sides of the equation gives $x^2 - 3x + 54 = x^2 + 6x + 9$. Subtracting $x^2$ and $x^2$ from both sides gives $-3x + 54 = 6x + 9$. Subtracting $6x$ from both sides gives $-9x + 54 = 9$. Subtracting $54$ from both sides gives $-9x = -45$. Dividing both sides by $-9$ gives $x = 5$.

Solve - x2−3x+54=x+3\sqrt { x ^ { 2 } - 3 x + 54 } = x + 3x2−3x+54​=x+3

Solve
- $\sqrt { x ^ { 2 } - 3 x + 54 } = x + 3$