Solve x*x=343

$$x \times x=343$$

Solve for x

$$x=7\sqrt{7}\approx 18.520259177$$

$$x=-7\sqrt{7}\approx -18.520259177$$

Steps by Finding Square Root

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

$$x^{2}=343$$

Take the square root of both sides of the equation.

$$x=7\sqrt{7} x=-7\sqrt{7}$$

Steps Using the Quadratic Formula

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

$$x^{2}=343$$

Subtract 343 from both sides.

$$x^{2}-343=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -343 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-343\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-343\right)}}{2}$$

Multiply -4 times -343.

$$x=\frac{0±\sqrt{1372}}{2}$$

Take the square root of 1372.

$$x=\frac{0±14\sqrt{7}}{2}$$

Now solve the equation x=\frac{0±14\sqrt{7}}{2} when ± is plus.

$$x=7\sqrt{7}$$

Now solve the equation x=\frac{0±14\sqrt{7}}{2} when ± is minus.

$$x=-7\sqrt{7}$$

The equation is now solved.

$$x=7\sqrt{7} x=-7\sqrt{7}$$