9a*5a=96

Solution for 9a*5a=96 equation:

9a*5a=96

We move all terms to the left:

9a*5a-(96)=0

Wy multiply elements

45a^2-96=0

a = 45; b = 0; c = -96;
Δ = b2-4ac
Δ = 02-4·45·(-96)
Δ = 17280
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{17280}=\sqrt{576*30}=\sqrt{576}*\sqrt{30}=24\sqrt{30}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{30}}{2*45}=\frac{0-24\sqrt{30}}{90}
=-\frac{24\sqrt{30}}{90}
=-\frac{4\sqrt{30}}{15}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{30}}{2*45}=\frac{0+24\sqrt{30}}{90}
=\frac{24\sqrt{30}}{90}
=\frac{4\sqrt{30}}{15}
$