Solve the radical equation.
-$$\sqrt { 18 x - 27 } = x + 3$$
A) $\{ - 6 \}$
B) $\{ 6 \}$
C) $\{ - 5 \}$
D) $\{ 7 \}$

Name: Solve the radical equation. -\[\sqrt { 18 x - 27 } = x + 3\] A) $\{ - 6 \}$ B) $\{ 6 \}$ C) $\{ - 5 \}$ D) $\{ 7 \}$
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Question

Quizplus · Accepted Answer

Squaring both sides of the equation gives $18x - 27 = (x + 3)^2$. Expanding and simplifying leads to $18x - 27 = x^2 + 6x + 9$, which simplifies to $x^2 - 12x + 36 = 0$. Factoring gives $(x - 6)^2 = 0$, so $x = 6$.

Solve the Radical Equation 18x−27=x+3\sqrt { 18 x - 27 } = x + 318x−27​=x+3

Solve the Radical Equation $\sqrt { 18 x - 27 } = x + 3$