Solve x^2+70=7

$$x ^ { 2 } + 70 = 7$$

Solve for x (complex solution)

$$x=-3\sqrt{7}i\approx -0-7.937253933i$$

$$x=3\sqrt{7}i\approx 7.937253933i$$

Steps by Finding Square Root

Subtract 70 from both sides.

$$x^{2}=7-70$$

Subtract 70 from 7 to get -63.

$$x^{2}=-63$$

The equation is now solved.

$$x=3\sqrt{7}i x=-3\sqrt{7}i$$

Steps Using the Quadratic Formula

Subtract 7 from both sides.

$$x^{2}+70-7=0$$

Subtract 7 from 70 to get 63.

$$x^{2}+63=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 63 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 63}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 63}}{2}$$

Multiply -4 times 63.

$$x=\frac{0±\sqrt{-252}}{2}$$

Take the square root of -252.

$$x=\frac{0±6\sqrt{7}i}{2}$$

Now solve the equation x=\frac{0±6\sqrt{7}i}{2} when ± is plus.

$$x=3\sqrt{7}i$$

Now solve the equation x=\frac{0±6\sqrt{7}i}{2} when ± is minus.

$$x=-3\sqrt{7}i$$

The equation is now solved.

$$x=3\sqrt{7}i x=-3\sqrt{7}i$$