7m^2=9072

Solution for 7m^2=9072 equation:

7m^2=9072

We move all terms to the left:

7m^2-(9072)=0

a = 7; b = 0; c = -9072;
Δ = b2-4ac
Δ = 02-4·7·(-9072)
Δ = 254016
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{254016}=504$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-504}{2*7}=\frac{-504}{14}
=-36
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+504}{2*7}=\frac{504}{14}
=36
$