Calculus Examples

$\sqrt{x} + 2 = 3$

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

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Subtract $2$ from both sides of the equation.

$\sqrt{x} = - 2 + 3$

Add $- 2$ and $3$ .

$\sqrt{x} = 1$

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

${(\sqrt{x})}^{2} = {(1)}^{2}$

Simplify the left side of the equation.

$x = {(1)}^{2}$

Simplify the right side of the equation.

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Remove parentheses around $1$ .

$x = 1^{2}$

One to any power is one.

$x = 1$

Verify each of the solutions by substituting them into $\sqrt{x} + 2 = 3$ and solving.

$x = 1$

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