3x^2-76x+325=0

Solution for 3x^2-76x+325=0 equation:

3x^2-76x+325=0

a = 3; b = -76; c = +325;
Δ = b2-4ac
Δ = -762-4·3·325
Δ = 1876
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:

$\sqrt{\Delta}=\sqrt{1876}=\sqrt{4*469}=\sqrt{4}*\sqrt{469}=2\sqrt{469}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-76)-2\sqrt{469}}{2*3}=\frac{76-2\sqrt{469}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-76)+2\sqrt{469}}{2*3}=\frac{76+2\sqrt{469}}{6}
$