Algebra Examples

$2 \sqrt{x} - \sqrt{x - 5} = \sqrt{2 x - 2}$

Step 1

Subtract $\sqrt{2 x - 2}$ from both sides of the equation.

$2 \sqrt{x} - \sqrt{x - 5} - \sqrt{2 x - 2} = 0$

Step 2

Factor $2$ out of $2 x - 2$ .

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Step 2.1

Factor $2$ out of $2 x$ .

$2 \sqrt{x} - \sqrt{x - 5} - \sqrt{2 (x) - 2} = 0$

Step 2.2

Factor $2$ out of $- 2$ .

$2 \sqrt{x} - \sqrt{x - 5} - \sqrt{2 (x) + 2 (- 1)} = 0$

Step 2.3

Factor $2$ out of $2 (x) + 2 (- 1)$ .

$2 \sqrt{x} - \sqrt{x - 5} - \sqrt{2 (x - 1)} = 0$

Step 3

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

$x = 9$

Step 4