72m2=10

Solution for 72m2=10 equation:

72m^2=10

We move all terms to the left:

72m^2-(10)=0

a = 72; b = 0; c = -10;
Δ = b2-4ac
Δ = 02-4·72·(-10)
Δ = 2880
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2880}=\sqrt{576*5}=\sqrt{576}*\sqrt{5}=24\sqrt{5}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{5}}{2*72}=\frac{0-24\sqrt{5}}{144}
=-\frac{24\sqrt{5}}{144}
=-\frac{\sqrt{5}}{6}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{5}}{2*72}=\frac{0+24\sqrt{5}}{144}
=\frac{24\sqrt{5}}{144}
=\frac{\sqrt{5}}{6}
$