93x^2-584x-3752=0

Solution for 93x^2-584x-3752=0 equation:

93x^2-584x-3752=0

a = 93; b = -584; c = -3752;
Δ = b2-4ac
Δ = -5842-4·93·(-3752)
Δ = 1736800
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:

$\sqrt{\Delta}=\sqrt{1736800}=\sqrt{400*4342}=\sqrt{400}*\sqrt{4342}=20\sqrt{4342}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-584)-20\sqrt{4342}}{2*93}=\frac{584-20\sqrt{4342}}{186}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-584)+20\sqrt{4342}}{2*93}=\frac{584+20\sqrt{4342}}{186}
$