Calculus Examples

$\sqrt{x} + 3 = 2$

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.

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

Add $- 3$ and $2$ to get $- 1$ .

$\sqrt{x} = - 1$

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.

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

Raise $- 1$ to the power of $2$ to get $1$ .

$x = 1$

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

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