6x^2-13x-66=0

Solution for 6x^2-13x-66=0 equation:

6x^2-13x-66=0

a = 6; b = -13; c = -66;
Δ = b2-4ac
Δ = -132-4·6·(-66)
Δ = 1753
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-\sqrt{1753}}{2*6}=\frac{13-\sqrt{1753}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+\sqrt{1753}}{2*6}=\frac{13+\sqrt{1753}}{12}
$