13x^2-75x-1800=0

Solution for 13x^2-75x-1800=0 equation:

13x^2-75x-1800=0

a = 13; b = -75; c = -1800;
Δ = b2-4ac
Δ = -752-4·13·(-1800)
Δ = 99225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{99225}=315$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-315}{2*13}=\frac{-240}{26}
=-9+3/13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+315}{2*13}=\frac{390}{26}
=15
$