Solve x^2=156*10^-10

$$x ^ { 2 } = 156 \times 10 ^ { - 10 }$$

Solve for x

$$x=\frac{\sqrt{39}}{50000}\approx 0.0001249$$

$$x=-\frac{\sqrt{39}}{50000}\approx -0.0001249$$

Steps by Finding Square Root

Calculate 10 to the power of -10 and get \frac{1}{10000000000}.

$$x^{2}=156\times \frac{1}{10000000000}$$

Multiply 156 and \frac{1}{10000000000} to get \frac{39}{2500000000}.

$$x^{2}=\frac{39}{2500000000}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{39}}{50000} x=-\frac{\sqrt{39}}{50000}$$

Steps Using the Quadratic Formula

Calculate 10 to the power of -10 and get \frac{1}{10000000000}.

$$x^{2}=156\times \frac{1}{10000000000}$$

Multiply 156 and \frac{1}{10000000000} to get \frac{39}{2500000000}.

$$x^{2}=\frac{39}{2500000000}$$

Subtract \frac{39}{2500000000} from both sides.

$$x^{2}-\frac{39}{2500000000}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -\frac{39}{2500000000} for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{39}{2500000000}\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{39}{2500000000}\right)}}{2}$$

Multiply -4 times -\frac{39}{2500000000}.

$$x=\frac{0±\sqrt{\frac{39}{625000000}}}{2}$$

Take the square root of \frac{39}{625000000}.

$$x=\frac{0±\frac{\sqrt{39}}{25000}}{2}$$

Now solve the equation x=\frac{0±\frac{\sqrt{39}}{25000}}{2} when ± is plus.

$$x=\frac{\sqrt{39}}{50000}$$

Now solve the equation x=\frac{0±\frac{\sqrt{39}}{25000}}{2} when ± is minus.

$$x=-\frac{\sqrt{39}}{50000}$$

The equation is now solved.

$$x=\frac{\sqrt{39}}{50000} x=-\frac{\sqrt{39}}{50000}$$