Solve and check your solution(s). If the equation has no real solution, so state.
-$\sqrt { x ^ { 2 } - 3 } = \sqrt { x + 3 }$
A)-2, 3
B)-3, 3
C)-3
D)2, 3

Question

Quizplus · Accepted Answer

Squaring both sides of the equation $\sqrt { x ^ { 2 } - 3 } = \sqrt { x + 3 }$ gives $x^2 - 3 = x + 3$. Rearranging and solving the quadratic equation $x^2 - x - 6 = 0$ yields $x = -2$ and $x = 3$. Checking these solutions in the original equation confirms they are valid.

Solve and Check Your Solution(s) x2−3=x+3\sqrt { x ^ { 2 } - 3 } = \sqrt { x + 3 }x2−3​=x+3​

Solve and Check Your Solution(s) $\sqrt { x ^ { 2 } - 3 } = \sqrt { x + 3 }$