Solve x^2+9*6=11

$$x ^ { 2 } + 9 \times 6 = 11$$

Solve for x (complex solution)

$$x=-\sqrt{43}i\approx -0-6.557438524i$$

$$x=\sqrt{43}i\approx 6.557438524i$$

Steps by Finding Square Root

Multiply 9 and 6 to get 54.

$$x^{2}+54=11$$

Subtract 54 from both sides.

$$x^{2}=11-54$$

Subtract 54 from 11 to get -43.

$$x^{2}=-43$$

The equation is now solved.

$$x=\sqrt{43}i x=-\sqrt{43}i$$

Steps Using the Quadratic Formula

Multiply 9 and 6 to get 54.

$$x^{2}+54=11$$

Subtract 11 from both sides.

$$x^{2}+54-11=0$$

Subtract 11 from 54 to get 43.

$$x^{2}+43=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 43 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 43}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 43}}{2}$$

Multiply -4 times 43.

$$x=\frac{0±\sqrt{-172}}{2}$$

Take the square root of -172.

$$x=\frac{0±2\sqrt{43}i}{2}$$

Now solve the equation x=\frac{0±2\sqrt{43}i}{2} when ± is plus.

$$x=\sqrt{43}i$$

Now solve the equation x=\frac{0±2\sqrt{43}i}{2} when ± is minus.

$$x=-\sqrt{43}i$$

The equation is now solved.

$$x=\sqrt{43}i x=-\sqrt{43}i$$