121w^2-144=0

Solution for 121w^2-144=0 equation:

121w^2-144=0

a = 121; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·121·(-144)
Δ = 69696
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{69696}=264$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-264}{2*121}=\frac{-264}{242}
=-1+1/11
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+264}{2*121}=\frac{264}{242}
=1+1/11
$