12x2-360x+3=0

Solution for 12x2-360x+3=0 equation:

12x^2-360x+3=0

a = 12; b = -360; c = +3;
Δ = b2-4ac
Δ = -3602-4·12·3
Δ = 129456
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:

$\sqrt{\Delta}=\sqrt{129456}=\sqrt{144*899}=\sqrt{144}*\sqrt{899}=12\sqrt{899}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-360)-12\sqrt{899}}{2*12}=\frac{360-12\sqrt{899}}{24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-360)+12\sqrt{899}}{2*12}=\frac{360+12\sqrt{899}}{24}
$