-13x^2+118x-240=0

Solution for -13x^2+118x-240=0 equation:

-13x^2+118x-240=0

a = -13; b = 118; c = -240;
Δ = b2-4ac
Δ = 1182-4·(-13)·(-240)
Δ = 1444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1444}=38$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(118)-38}{2*-13}=\frac{-156}{-26}
=+6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(118)+38}{2*-13}=\frac{-80}{-26}
=3+1/13
$