Solve the equation.
-$$x = \sqrt { 4 x + 12 }$$
A) $\{ 6 \}$
B) $\{ 4 \}$
C) $\varnothing$
D) $\{ 6 , - 2 \}$

Question

Quizplus · Accepted Answer

To solve the equation $x = \sqrt{4x + 12}$, square both sides to get $x^2 = 4x + 12$. Rearrange to form a quadratic equation: $x^2 - 4x - 12 = 0$. Solving this using the quadratic formula gives $x = 6$ and $x = -2$. However, substituting $x = -2$ back into the original equation does not satisfy it, so the only solution is $x = 6$.

Solve the Equation x=4x+12x = \sqrt { 4 x + 12 }x=4x+12​

Solve the Equation $x = \sqrt { 4 x + 12 }$