Solve 377=xx

$$377 = x x$$

Solve for x

$$x=\sqrt{377}\approx 19.416487839$$

$$x=-\sqrt{377}\approx -19.416487839$$

Steps by Finding Square Root

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

$$377=x^{2}$$

Swap sides so that all variable terms are on the left hand side.

$$x^{2}=377$$

Take the square root of both sides of the equation.

$$x=\sqrt{377} x=-\sqrt{377}$$

Steps Using the Quadratic Formula

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

$$377=x^{2}$$

Swap sides so that all variable terms are on the left hand side.

$$x^{2}=377$$

Subtract 377 from both sides.

$$x^{2}-377=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -377 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-377\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-377\right)}}{2}$$

Multiply -4 times -377.

$$x=\frac{0±\sqrt{1508}}{2}$$

Take the square root of 1508.

$$x=\frac{0±2\sqrt{377}}{2}$$

Now solve the equation x=\frac{0±2\sqrt{377}}{2} when ± is plus.

$$x=\sqrt{377}$$

Now solve the equation x=\frac{0±2\sqrt{377}}{2} when ± is minus.

$$x=-\sqrt{377}$$

The equation is now solved.

$$x=\sqrt{377} x=-\sqrt{377}$$