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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

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\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 \\ (5b^2)/(5)=(180)/(5) \\ b^2=36 \\ b^{2*(1)/(2)}=36^{(1)/(2)} \\ b\text{ = }\sqrt[]{36} \\ b\text{ =6} \end{gathered}

Hence the answer is option D

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