Solve x^2+175=6

$$x ^ { 2 } + 175 = 6$$

Solve for x (complex solution)

$$x=-13i$$

$$x=13i$$

Steps by Finding Square Root

Subtract 175 from both sides.

$$x^{2}=6-175$$

Subtract 175 from 6 to get -169.

$$x^{2}=-169$$

The equation is now solved.

$$x=13i x=-13i$$

Steps Using the Quadratic Formula

Subtract 6 from both sides.

$$x^{2}+175-6=0$$

Subtract 6 from 175 to get 169.

$$x^{2}+169=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 169 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 169}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 169}}{2}$$

Multiply -4 times 169.

$$x=\frac{0±\sqrt{-676}}{2}$$

Take the square root of -676.

$$x=\frac{0±26i}{2}$$

Now solve the equation x=\frac{0±26i}{2} when ± is plus.

$$x=13i$$

Now solve the equation x=\frac{0±26i}{2} when ± is minus.

$$x=-13i$$

The equation is now solved.

$$x=13i x=-13i$$