Calculus Examples

$\sqrt{x} + 3 = 18$

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

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Subtract $3$ from both sides of the equation.

$\sqrt{x} = - 3 + 18$

Add $- 3$ and $18$ .

$\sqrt{x} = 15$

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

${(\sqrt{x})}^{2} = {(15)}^{2}$

Simplify the left side of the equation.

$x = {(15)}^{2}$

Simplify the right side of the equation.

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Remove parentheses around $15$ .

$x = 15^{2}$

Raise $15$ to the power of $2$ .

$x = 225$

Verify each of the solutions by substituting them into $\sqrt{x} + 3 = 18$ and solving.

$x = 225$

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