Solve x^2=-0.1/2*2*8-8.5*10^-12

$$x ^ { 2 } = \frac { - 0.1 } { 2 \times 2 \times 8 - 8.5 \times 10 ^ { - 12 } }$$

Solve for x (complex solution)

$$x=-\frac{i\times 200000\sqrt{319999999999915}}{63999999999983}\approx -0-0.055901699i$$

$$x=\frac{i\times 200000\sqrt{319999999999915}}{63999999999983}\approx 0.055901699i$$

Steps by Finding Square Root

Multiply 2 and 2 to get 4.

$$x^{2}=\frac{-0.1}{4\times 8-8.5\times 10^{-12}}$$

Multiply 4 and 8 to get 32.

$$x^{2}=\frac{-0.1}{32-8.5\times 10^{-12}}$$

Calculate 10 to the power of -12 and get \frac{1}{1000000000000}.

$$x^{2}=\frac{-0.1}{32-8.5\times \frac{1}{1000000000000}}$$

Multiply 8.5 and \frac{1}{1000000000000} to get \frac{17}{2000000000000}.

$$x^{2}=\frac{-0.1}{32-\frac{17}{2000000000000}}$$

Subtract \frac{17}{2000000000000} from 32 to get \frac{63999999999983}{2000000000000}.

$$x^{2}=\frac{-0.1}{\frac{63999999999983}{2000000000000}}$$

Divide -0.1 by \frac{63999999999983}{2000000000000} by multiplying -0.1 by the reciprocal of \frac{63999999999983}{2000000000000}.

$$x^{2}=-0.1\times \frac{2000000000000}{63999999999983}$$

Multiply -0.1 and \frac{2000000000000}{63999999999983} to get -\frac{200000000000}{63999999999983}.

$$x^{2}=-\frac{200000000000}{63999999999983}$$

The equation is now solved.

$$x=\frac{200000\sqrt{319999999999915}i}{63999999999983} x=-\frac{200000\sqrt{319999999999915}i}{63999999999983}$$

Steps Using the Quadratic Formula

Multiply 2 and 2 to get 4.

$$x^{2}=\frac{-0.1}{4\times 8-8.5\times 10^{-12}}$$

Multiply 4 and 8 to get 32.

$$x^{2}=\frac{-0.1}{32-8.5\times 10^{-12}}$$

Calculate 10 to the power of -12 and get \frac{1}{1000000000000}.

$$x^{2}=\frac{-0.1}{32-8.5\times \frac{1}{1000000000000}}$$

Multiply 8.5 and \frac{1}{1000000000000} to get \frac{17}{2000000000000}.

$$x^{2}=\frac{-0.1}{32-\frac{17}{2000000000000}}$$

Subtract \frac{17}{2000000000000} from 32 to get \frac{63999999999983}{2000000000000}.

$$x^{2}=\frac{-0.1}{\frac{63999999999983}{2000000000000}}$$

Divide -0.1 by \frac{63999999999983}{2000000000000} by multiplying -0.1 by the reciprocal of \frac{63999999999983}{2000000000000}.

$$x^{2}=-0.1\times \frac{2000000000000}{63999999999983}$$

Multiply -0.1 and \frac{2000000000000}{63999999999983} to get -\frac{200000000000}{63999999999983}.

$$x^{2}=-\frac{200000000000}{63999999999983}$$

Add \frac{200000000000}{63999999999983} to both sides.

$$x^{2}+\frac{200000000000}{63999999999983}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and \frac{200000000000}{63999999999983} for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times \frac{200000000000}{63999999999983}}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times \frac{200000000000}{63999999999983}}}{2}$$

Multiply -4 times \frac{200000000000}{63999999999983}.

$$x=\frac{0±\sqrt{-\frac{800000000000}{63999999999983}}}{2}$$

Take the square root of -\frac{800000000000}{63999999999983}.

$$x=\frac{0±\frac{400000\sqrt{319999999999915}i}{63999999999983}}{2}$$

Now solve the equation x=\frac{0±\frac{400000\sqrt{319999999999915}i}{63999999999983}}{2} when ± is plus.

$$x=\frac{200000\sqrt{319999999999915}i}{63999999999983}$$

Now solve the equation x=\frac{0±\frac{400000\sqrt{319999999999915}i}{63999999999983}}{2} when ± is minus.

$$x=-\frac{200000\sqrt{319999999999915}i}{63999999999983}$$

The equation is now solved.

$$x=\frac{200000\sqrt{319999999999915}i}{63999999999983} x=-\frac{200000\sqrt{319999999999915}i}{63999999999983}$$