Finite Math Examples

$x = \sqrt{x - 5}$

Step 1

Subtract $\sqrt{x - 5}$ from both sides of the equation.

$x - \sqrt{x - 5} = 0$

Step 2

Set the radicand in $\sqrt{x - 5}$ less than $0$ to find where the expression is undefined.

$x - 5 < 0$

Step 3

Add $5$ to both sides of the inequality.

$x < 5$

Step 4

The equation is undefined where the denominator equals $0$ , the argument of a square root is less than $0$ , or the argument of a logarithm is less than or equal to $0$ .

$x < 5$

$(- \infty, 5)$

Step 5