Solve 2+10/6=x^2

$$\frac { 2 + 10 } { 6 } = x ^ { 2 }$$

Solve for x

$$x=\sqrt{2}\approx 1.414213562$$

$$x=-\sqrt{2}\approx -1.414213562$$

Steps by Finding Square Root

Multiply both sides of the equation by 6.

$$2+10=6x^{2}$$

Add 2 and 10 to get 12.

$$12=6x^{2}$$

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

$$6x^{2}=12$$

Divide both sides by 6.

$$x^{2}=\frac{12}{6}$$

Divide 12 by 6 to get 2.

$$x^{2}=2$$

Take the square root of both sides of the equation.

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

Steps Using the Quadratic Formula

Multiply both sides of the equation by 6.

$$2+10=6x^{2}$$

Add 2 and 10 to get 12.

$$12=6x^{2}$$

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

$$6x^{2}=12$$

Subtract 12 from both sides.

$$6x^{2}-12=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 6 for a, 0 for b, and -12 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 6\left(-12\right)}}{2\times 6}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 6\left(-12\right)}}{2\times 6}$$

Multiply -4 times 6.

$$x=\frac{0±\sqrt{-24\left(-12\right)}}{2\times 6}$$

Multiply -24 times -12.

$$x=\frac{0±\sqrt{288}}{2\times 6}$$

Take the square root of 288.

$$x=\frac{0±12\sqrt{2}}{2\times 6}$$

Multiply 2 times 6.

$$x=\frac{0±12\sqrt{2}}{12}$$

Now solve the equation x=\frac{0±12\sqrt{2}}{12} when ± is plus.

$$x=\sqrt{2}$$

Now solve the equation x=\frac{0±12\sqrt{2}}{12} when ± is minus.

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

The equation is now solved.

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