Respuesta :

Explanation

We are told to resolve the quadratic equation

[tex]4x^2+4=20[/tex]

To do so, we will have to collect like terms

[tex]\begin{gathered} 4x^2=20-4 \\ 4x^2=16 \end{gathered}[/tex]

Then we will divide both sides by 4

[tex]\begin{gathered} \frac{4x^2}{4}=\frac{16}{4} \\ \\ x^2=4 \end{gathered}[/tex]

Thus the value of x will be obtained using square root

[tex]\begin{gathered} x=\pm\sqrt{4} \\ x=\pm2 \end{gathered}[/tex]

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