Use a method of your choice to solve the equation.
-$$x + 1 - 2 \sqrt { x + 7 } = 0$$
A) $x = - 1 + 2 \sqrt { 7 }$
B) $x = - 2 \sqrt { 7 }$ or $x = 2 \sqrt { 7 }$
C) $x = 1 + 2 \sqrt { 7 }$
D) $x = - 13$ or $x = 15$

Question

Quizplus · Accepted Answer

To solve the equation, isolate the square root term: $2 \sqrt{x + 7} = x + 1$. Square both sides to eliminate the square root: $4(x + 7) = (x + 1)^2$. Simplify and solve the resulting quadratic equation to find $x = 1 + 2 \sqrt{7}$.

Use a Method of Your Choice to Solve the Equation x+1−2x+7=0x + 1 - 2 \sqrt { x + 7 } = 0x+1−2x+7​=0

Use a Method of Your Choice to Solve the Equation $x + 1 - 2 \sqrt { x + 7 } = 0$