36x^2-60x-29=0

Solution for 36x^2-60x-29=0 equation:

36x^2-60x-29=0

a = 36; b = -60; c = -29;
Δ = b2-4ac
Δ = -602-4·36·(-29)
Δ = 7776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{7776}=\sqrt{1296*6}=\sqrt{1296}*\sqrt{6}=36\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-36\sqrt{6}}{2*36}=\frac{60-36\sqrt{6}}{72}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+36\sqrt{6}}{2*36}=\frac{60+36\sqrt{6}}{72}
$