60x^2-26x-11=0

Solution for 60x^2-26x-11=0 equation:

60x^2-26x-11=0

a = 60; b = -26; c = -11;
Δ = b2-4ac
Δ = -262-4·60·(-11)
Δ = 3316
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:

$\sqrt{\Delta}=\sqrt{3316}=\sqrt{4*829}=\sqrt{4}*\sqrt{829}=2\sqrt{829}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-26)-2\sqrt{829}}{2*60}=\frac{26-2\sqrt{829}}{120}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26)+2\sqrt{829}}{2*60}=\frac{26+2\sqrt{829}}{120}
$