Precalculus Examples

$\sqrt{x} - 3 = 4$

Move all terms not containing $\sqrt{x}$ to the right side of the equation.

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Add $3$ to both sides of the equation.

$\sqrt{x} = 4 + 3$

Add $4$ and $3$ .

$\sqrt{x} = 7$

To remove the radical on the left side of the equation, square both sides of the equation.

${(\sqrt{x})}^{2} = {(7)}^{2}$

Simplify each side of the equation.

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Simplify the left side of the equation.

$x = {(7)}^{2}$

Raise $7$ to the power of $2$ .

$x = 49$

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