Solve 8a*6a=104

$$8 a \times 6 a = 104$$

Solve for a

$$a = \frac{\sqrt{78}}{6} \approx 1.471960144$$

$$a = -\frac{\sqrt{78}}{6} \approx -1.471960144$$

Steps by Finding Square Root

Multiply a and a to get a^{2}.

$$8a^{2}\times 6=104$$

Multiply 8 and 6 to get 48.

$$48a^{2}=104$$

Divide both sides by 48.

$$a^{2}=\frac{104}{48}$$

Reduce the fraction \frac{104}{48} to lowest terms by extracting and canceling out 8.

$$a^{2}=\frac{13}{6}$$

Take the square root of both sides of the equation.

$$a=\frac{\sqrt{78}}{6} a=-\frac{\sqrt{78}}{6}$$

Steps Using the Quadratic Formula

Multiply a and a to get a^{2}.

$$8a^{2}\times 6=104$$

Multiply 8 and 6 to get 48.

$$48a^{2}=104$$

Subtract 104 from both sides.

$$48a^{2}-104=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 48 for a, 0 for b, and -104 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$a=\frac{0±\sqrt{0^{2}-4\times 48\left(-104\right)}}{2\times 48}$$

Square 0.

$$a=\frac{0±\sqrt{-4\times 48\left(-104\right)}}{2\times 48}$$

Multiply -4 times 48.

$$a=\frac{0±\sqrt{-192\left(-104\right)}}{2\times 48}$$

Multiply -192 times -104.

$$a=\frac{0±\sqrt{19968}}{2\times 48}$$

Take the square root of 19968.

$$a=\frac{0±16\sqrt{78}}{2\times 48}$$

Multiply 2 times 48.

$$a=\frac{0±16\sqrt{78}}{96}$$

Now solve the equation a=\frac{0±16\sqrt{78}}{96} when ± is plus.

$$a=\frac{\sqrt{78}}{6}$$

Now solve the equation a=\frac{0±16\sqrt{78}}{96} when ± is minus.

$$a=-\frac{\sqrt{78}}{6}$$

The equation is now solved.

$$a=\frac{\sqrt{78}}{6} a=-\frac{\sqrt{78}}{6}$$