66x^2+157x+66=0

Solution for 66x^2+157x+66=0 equation:

66x^2+157x+66=0

a = 66; b = 157; c = +66;
Δ = b2-4ac
Δ = 1572-4·66·66
Δ = 7225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7225}=85$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(157)-85}{2*66}=\frac{-242}{132}
=-1+5/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(157)+85}{2*66}=\frac{-72}{132}
=-6/11
$