Solve 2b^2=10

$$2 b ^ { 2 } = 10$$

Solve for b

$$b=\sqrt{5}\approx 2.236067977$$

$$b=-\sqrt{5}\approx -2.236067977$$

Steps by Finding Square Root

Divide both sides by 2.

$$b^{2}=\frac{10}{2}$$

Divide 10 by 2 to get 5.

$$b^{2}=5$$

Take the square root of both sides of the equation.

$$b=\sqrt{5} b=-\sqrt{5}$$

Steps Using the Quadratic Formula

Divide both sides by 2.

$$b^{2}=\frac{10}{2}$$

Divide 10 by 2 to get 5.

$$b^{2}=5$$

Subtract 5 from both sides.

$$b^{2}-5=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -5 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$b=\frac{0±\sqrt{0^{2}-4\left(-5\right)}}{2}$$

Square 0.

$$b=\frac{0±\sqrt{-4\left(-5\right)}}{2}$$

Multiply -4 times -5.

$$b=\frac{0±\sqrt{20}}{2}$$

Take the square root of 20.

$$b=\frac{0±2\sqrt{5}}{2}$$

Now solve the equation b=\frac{0±2\sqrt{5}}{2} when ± is plus.

$$b=\sqrt{5}$$

Now solve the equation b=\frac{0±2\sqrt{5}}{2} when ± is minus.

$$b=-\sqrt{5}$$

The equation is now solved.

$$b=\sqrt{5} b=-\sqrt{5}$$