Use the rules of equations and inverse operations to solve the equation. in your final answer, include all of your work.
4 - x^2 = (-16)

Solving  4 - X^2 = (-16) we get X=2\sqrt{5}\,\,and\,\,X=-2\sqrt{5}

Step-by-step explanation:

We need to solve the equation: 4 - X^2 = (-16)

Solving:

4 - X^2 = (-16)

Adding -4 on both sides:

4 - X^2-4 = -16-4\\- X^2 = -20

Divide both sides by -1

\frac{-X^2}{-1}=\frac{-20}{-1}\\X^2=20

Taking square root

\sqrt{X^2}=\sqrt{20}\\X=\pm\sqrt{20}

√20 can be simplified as: \sqrt{2*2*5}=\sqrt{2^2*5}= \sqrt{2^2}* \sqrt{5}=2 \sqrt{5}

So, value of X is:

X=\pm2\sqrt{5}\\or:\\X=2\sqrt{5}\,\,and\,\,X=-2\sqrt{5}

So, solving  4 - X^2 = (-16) we get X=2\sqrt{5}\,\,and\,\,X=-2\sqrt{5}

Step-by-step explanation:

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