Solve and check your solution(s). If the equation has no real solution, so state.
-$\sqrt { x ^ { 2 } } = \sqrt { x + 30 }$
A)5, 6
B)-5, 6
C)-5, -6
D)1, 30

Question

Quizplus · Accepted Answer

The equation $\sqrt { x ^ { 2 } } = \sqrt { x + 30 }$ simplifies to $|x| = \sqrt { x + 30 }$. Squaring both sides gives $x^2 = x + 30$, leading to the quadratic equation $x^2 - x - 30 = 0$. Factoring this gives $(x-6)(x+5) = 0$, so $x = 6$ or $x = -5$. Both solutions are valid when checked against the original equation.

Solve and Check Your Solution(s) x2=x+30\sqrt { x ^ { 2 } } = \sqrt { x + 30 }x2​=x+30​

Solve and Check Your Solution(s) $\sqrt { x ^ { 2 } } = \sqrt { x + 30 }$