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

User Jalmarez
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1 Answer

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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