Solve by extracting square roots.
-$$x ^ { 2 } - 25 = 0$$
A) $\{ 5 , - 5 \}$
B) $\{ 14 \}$
C) $\{ 4 , - 4 \}$
D) $\{ 5 \}$

Question

Quizplus · Accepted Answer

To solve the equation by extracting square roots, we first isolate the variable term:
$$x ^ { 2 } = 25$$
Next, we take the square root of both sides:
$$x = \pm \sqrt{25}$$
Simplifying the right-hand side gives us:
$$x = \pm 5$$
Therefore, the solutions are $\{5,-5\}$.

Solve by Extracting Square Roots x2−25=0x ^ { 2 } - 25 = 0x2−25=0

Solve by Extracting Square Roots $x ^ { 2 } - 25 = 0$