36m^2=169

Solution for 36m^2=169 equation:

36m^2=169

We move all terms to the left:

36m^2-(169)=0

a = 36; b = 0; c = -169;
Δ = b2-4ac
Δ = 02-4·36·(-169)
Δ = 24336
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{24336}=156$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-156}{2*36}=\frac{-156}{72}
=-2+1/6
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+156}{2*36}=\frac{156}{72}
=2+1/6
$