Solve 2x^2=196

$$2 { x }^{ 2 } =196$$

Solve for x

$$x=7\sqrt{2}\approx 9.899494937$$

$$x=-7\sqrt{2}\approx -9.899494937$$

Steps by Finding Square Root

Divide both sides by 2.

$$x^{2}=\frac{196}{2}$$

Divide 196 by 2 to get 98.

$$x^{2}=98$$

Take the square root of both sides of the equation.

$$x=7\sqrt{2} x=-7\sqrt{2}$$

Steps Using the Quadratic Formula

Divide both sides by 2.

$$x^{2}=\frac{196}{2}$$

Divide 196 by 2 to get 98.

$$x^{2}=98$$

Subtract 98 from both sides.

$$x^{2}-98=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -98 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-98\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-98\right)}}{2}$$

Multiply -4 times -98.

$$x=\frac{0±\sqrt{392}}{2}$$

Take the square root of 392.

$$x=\frac{0±14\sqrt{2}}{2}$$

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

$$x=7\sqrt{2}$$

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

$$x=-7\sqrt{2}$$

The equation is now solved.

$$x=7\sqrt{2} x=-7\sqrt{2}$$