Solve. Give exact solutions.
-$$x ^ { 2 } + 10 x + 25 = 28$$
A) $- 5 + 2 \sqrt { 14 } , - 5 - 2 \sqrt { 14 }$
B) $2 \sqrt { 7 } , - 2 \sqrt { 7 }$
C) $2 \sqrt { 7 } - 5,2 \sqrt { 7 } + 5$
D) $- 5 + 2 \sqrt { 7 } , - 5 - 2 \sqrt { 7 }$

Question

Quizplus · Accepted Answer

The equation can be rewritten as $(x + 5)^2 = 28$. Solving for $x$, we get $x + 5 = \pm \sqrt{28} = \pm 2\sqrt{7}$. Thus, $x = -5 \pm 2\sqrt{7}$.

Solve Give Exact Solutions x2+10x+25=28x ^ { 2 } + 10 x + 25 = 28x2+10x+25=28

Solve Give Exact Solutions $x ^ { 2 } + 10 x + 25 = 28$