67x^2-425x-308=0

Solution for 67x^2-425x-308=0 equation:

67x^2-425x-308=0

a = 67; b = -425; c = -308;
Δ = b2-4ac
Δ = -4252-4·67·(-308)
Δ = 263169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{263169}=513$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-425)-513}{2*67}=\frac{-88}{134}
=-44/67
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-425)+513}{2*67}=\frac{938}{134}
=7
$