144m^2-196=0

Solution for 144m^2-196=0 equation:

144m^2-196=0

a = 144; b = 0; c = -196;
Δ = b2-4ac
Δ = 02-4·144·(-196)
Δ = 112896
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{112896}=336$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-336}{2*144}=\frac{-336}{288}
=-1+1/6
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+336}{2*144}=\frac{336}{288}
=1+1/6
$