36k^2-121=0

Solution for 36k^2-121=0 equation:

36k^2-121=0

a = 36; b = 0; c = -121;
Δ = b2-4ac
Δ = 02-4·36·(-121)
Δ = 17424
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17424}=132$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-132}{2*36}=\frac{-132}{72}
=-1+5/6
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+132}{2*36}=\frac{132}{72}
=1+5/6
$