Solve.
-$x - \sqrt { 26 x + 39 } = - 8$
A) $- 5$
B) 5
C) $- 4$
D) 3

Name: Solve. -$x - \sqrt { 26 x + 39 } = - 8$ A) $- 5$ B) 5 C) $- 4$ D) 3
Brand: Quizplus
Rating: 4.8 (36 reviews)

Question

Quizplus · Accepted Answer

To solve the equation $x - \sqrt{26x + 39} = -8$, first isolate the square root: $\sqrt{26x + 39} = x + 8$. Squaring both sides gives $26x + 39 = (x + 8)^2$. Expanding the right side, we get $26x + 39 = x^2 + 16x + 64$. Rearrange to form a quadratic equation: $x^2 - 10x + 25 = 0$. Factoring gives $(x - 5)^2 = 0$, so $x = 5$.

Solve - x−26x+39=−8x - \sqrt { 26 x + 39 } = - 8x−26x+39​=−8

Solve
- $x - \sqrt { 26 x + 39 } = - 8$