Solve a^2=8*06^2-6^2

$$a ^ { 2 } = 8 \cdot 06 ^ { 2 } - 6 ^ { 2 }$$

Solve for a

$$a=-6i$$

$$a=6i$$

Steps by Finding Square Root

Multiply 8 and 0 to get 0.

$$a^{2}=0\times 6^{2}-6^{2}$$

Calculate 6 to the power of 2 and get 36.

$$a^{2}=0\times 36-6^{2}$$

Multiply 0 and 36 to get 0.

$$a^{2}=0-6^{2}$$

Calculate 6 to the power of 2 and get 36.

$$a^{2}=0-36$$

Subtract 36 from 0 to get -36.

$$a^{2}=-36$$

The equation is now solved.

$$a=6i a=-6i$$

Steps Using the Quadratic Formula

Multiply 8 and 0 to get 0.

$$a^{2}=0\times 6^{2}-6^{2}$$

Calculate 6 to the power of 2 and get 36.

$$a^{2}=0\times 36-6^{2}$$

Multiply 0 and 36 to get 0.

$$a^{2}=0-6^{2}$$

Calculate 6 to the power of 2 and get 36.

$$a^{2}=0-36$$

Subtract 36 from 0 to get -36.

$$a^{2}=-36$$

Add 36 to both sides.

$$a^{2}+36=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 36 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$a=\frac{0±\sqrt{0^{2}-4\times 36}}{2}$$

Square 0.

$$a=\frac{0±\sqrt{-4\times 36}}{2}$$

Multiply -4 times 36.

$$a=\frac{0±\sqrt{-144}}{2}$$

Take the square root of -144.

$$a=\frac{0±12i}{2}$$

Now solve the equation a=\frac{0±12i}{2} when ± is plus.

$$a=6i$$

Now solve the equation a=\frac{0±12i}{2} when ± is minus.

$$a=-6i$$

The equation is now solved.

$$a=6i a=-6i$$