Question

Solve the equation using square roots. X^2 + 5 = 41

Answer 1

Given: The equation below

`x^2+5=41`

To Determine: The value of x using square roots

Solution

Step1: subtract 5 from both sides

`\begin{gathered} x^2+5-5=41-5 \\ x^2=36 \end{gathered}`

Step 2: Take square roots of both sides

`\begin{gathered} \sqrt[]{x^2}=\sqrt[]{36} \\ x=\pm6 \end{gathered}`

Hence, the solution of equation using square root is ±6