Solve x^2-14*+49=0

$${ x }^{ 2 } -14 \times +49=0$$

Solve for x

$$x=7\sqrt{14}\approx 26.191601707$$

$$x=-7\sqrt{14}\approx -26.191601707$$

Steps by Finding Square Root

Multiply 14 and 49 to get 686.

$$x^{2}-686=0$$

Add 686 to both sides. Anything plus zero gives itself.

$$x^{2}=686$$

Take the square root of both sides of the equation.

$$x=7\sqrt{14} x=-7\sqrt{14}$$

Steps Using the Quadratic Formula

Multiply 14 and 49 to get 686.

$$x^{2}-686=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -686 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-686\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-686\right)}}{2}$$

Multiply -4 times -686.

$$x=\frac{0±\sqrt{2744}}{2}$$

Take the square root of 2744.

$$x=\frac{0±14\sqrt{14}}{2}$$

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

$$x=7\sqrt{14}$$

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

$$x=-7\sqrt{14}$$

The equation is now solved.

$$x=7\sqrt{14} x=-7\sqrt{14}$$