Question

4x^(2)+4=20 solve by using square roots

Answer 1

Step-by-step explanation

We are told to resolve the quadratic equation

`4x^2+4=20`

To do so, we will have to collect like terms

`\begin{gathered} 4x^2=20-4 \\ 4x^2=16 \end{gathered}`

Then we will divide both sides by 4

`\begin{gathered} (4x^2)/(4)=(16)/(4) \\ \\ x^2=4 \end{gathered}`

Thus the value of x will be obtained using square root

`\begin{gathered} x=\pm√(4) \\ x=\pm2 \end{gathered}`

Therefore, the values of x are: x=2, x=-2