36x^2-356x+288=0

Solution for 36x^2-356x+288=0 equation:

36x^2-356x+288=0

a = 36; b = -356; c = +288;
Δ = b2-4ac
Δ = -3562-4·36·288
Δ = 85264
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{85264}=292$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-356)-292}{2*36}=\frac{64}{72}
=8/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-356)+292}{2*36}=\frac{648}{72}
=9
$