Solve x*x=154

$$x \times x=154$$

Solve for x

$$x=\sqrt{154}\approx 12.409673646$$

$$x=-\sqrt{154}\approx -12.409673646$$

Steps by Finding Square Root

Multiply x and x to get x^{2}.

$$x^{2}=154$$

Take the square root of both sides of the equation.

$$x=\sqrt{154} x=-\sqrt{154}$$

Steps Using the Quadratic Formula

Multiply x and x to get x^{2}.

$$x^{2}=154$$

Subtract 154 from both sides.

$$x^{2}-154=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -154 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-154\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-154\right)}}{2}$$

Multiply -4 times -154.

$$x=\frac{0±\sqrt{616}}{2}$$

Take the square root of 616.

$$x=\frac{0±2\sqrt{154}}{2}$$

Now solve the equation x=\frac{0±2\sqrt{154}}{2} when ± is plus.

$$x=\sqrt{154}$$

Now solve the equation x=\frac{0±2\sqrt{154}}{2} when ± is minus.

$$x=-\sqrt{154}$$

The equation is now solved.

$$x=\sqrt{154} x=-\sqrt{154}$$