Solve the equation. $6 ( x + 1 ) ^ { 2 } = ( x + 1 ) ^ { 2 } + 40$
A) $1 \pm 2 \sqrt { 2 } ( - 1.8,3.8 )$
B) $- 1 + 2 \sqrt { 2 } ( 1.8 )$
C) $1 - 2 \sqrt { 2 } ( 3.8 )$
D) $- 1 \pm 2 \sqrt { 2 } ( - 3.8,1.8 )$
E) $- 1 - 2 \sqrt { 2 } ( - 3.8 )$

Question

Quizplus · Accepted Answer

The equation simplifies to $5(x+1)^2 = 40$, leading to $(x+1)^2 = 8$. Solving gives $x+1 = \pm 2\sqrt{2}$, so $x = -1 \pm 2\sqrt{2}$, corresponding to $-3.8$ and $1.8$.

Solve the Equation 6(x+1)2=(x+1)2+406 ( x + 1 ) ^ { 2 } = ( x + 1 ) ^ { 2 } + 406(x+1)2=(x+1)2+40

Solve the Equation $6 ( x + 1 ) ^ { 2 } = ( x + 1 ) ^ { 2 } + 40$