Precalculus Examples

$\sqrt{x^{2} - 9}$ , $x = 3 \sec (x)$

Step 1

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx - 3.02169359, - 3.80368206, 5.31246971, 7.43887584, - 8.22723073, - 10.71171004, 11.26513535$

Step 2

Replace the variable $x$ with $- 3.02169359$ in the expression.

$\sqrt{{(- 3.02169359)}^{2} - 9}$

Step 3

Raise $- 3.02169359$ to the power of $2$ .

$\sqrt{9.1306322 - 9}$

Step 4

Subtract $9$ from $9.1306322$ .

$\sqrt{0.1306322}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{0.1306322}$

Decimal Form:

$0.36143077 \dots$

Step 6