57x^2-101x-26=0

Solution for 57x^2-101x-26=0 equation:

57x^2-101x-26=0

a = 57; b = -101; c = -26;
Δ = b2-4ac
Δ = -1012-4·57·(-26)
Δ = 16129
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16129}=127$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-101)-127}{2*57}=\frac{-26}{114}
=-13/57
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-101)+127}{2*57}=\frac{228}{114}
=2
$