Question

Use the rules of equations and inverse operations to solve the equation. In your final answer, include all of your work.

Answer 1

Answer:

The answer is x^2=20

First you subtract 4and you get -x^2=-20

Then you divide by -1 which get you x^2=20

Step-by-step explanation:

Answer 2

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 $X=2\sqrt{5}\,\,and\,\,X=-2\sqrt{5}$

Keywords: Solving Equations

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