Solve $25 ( y + 5 ) ^ { 2 } = 81$ by the Square Root Property, if possible.
A) $y = - \frac { 16 } { 5 } , y = - \frac { 34 } { 5 }$
B) $y = - \frac { 16 } { 5 } , y = \frac { 34 } { 5 }$
C) $y = 4 , y = - 14$
D) $y = \frac { 9 } { 5 } , y = - \frac { 9 } { 5 }$
E)no solutions

Question

Quizplus · Accepted Answer

First, divide both sides by 25 to get $(y + 5)^2 = \frac{81}{25}$. Taking the square root of both sides gives $y + 5 = \pm \frac{9}{5}$. Solving for $y$ gives $y = -5 \pm \frac{9}{5}$, which simplifies to $y = - \frac{16}{5}$ and $y = - \frac{34}{5}$.

Solve 25(y+5)2=8125 ( y + 5 ) ^ { 2 } = 8125(y+5)2=81

Solve $25 ( y + 5 ) ^ { 2 } = 81$