Question

Solve 8x2 – 7 = 193.Question 16 options:A) x = ±6B) x = ±5C) x = ±4D) x = ±3

Answer 1

`\begin{gathered} 8x^2-7=193\rightarrow\text{ Given} \\ 8x^2=193+7\rightarrow\text{add +7 to both sides, to eliminate -7 on the left side} \\ 8x^2=200\rightarrow\text{ Simplify} \\ \frac{\cancel{8}x^2}{\cancel{8}}=(200)/(8)\rightarrow\text{ Divide both sides by 8} \\ x^2=25\rightarrow\text{ Simplify} \\ \sqrt[]{x^2}=\sqrt[]{25}\rightarrow\text{ Get the square root of both sides} \\ x=\pm5 \end{gathered}`