Question

Solve for b. Express your answer as an integer or integers or in simplest radical form. 5b^2 - 5 = 175 A) 175 B) 25 C) 5 D) 6

Answer 1

$\begin{gathered} Re\text{quired} \\ ^{} \\ To\text{ find the value of b in} \\ 5b^2-5\text{ = 175} \end{gathered}$

Solution

$\begin{gathered} 5b^2-5\text{ = 175} \\ 5b^2=\text{ 175+5} \\ 5b^2=180 \\ \frac{5b^2}{5}=\frac{180}{5} \\ b^2=36 \\ b^{2\times\frac{1}{2}}=36^{\frac{1}{2}} \\ b\text{ = }\sqrt[]{36} \\ b\text{ =6} \end{gathered}$

Hence the answer is option D