13x^2+1170x-234000=0

Solution for 13x^2+1170x-234000=0 equation:

13x^2+1170x-234000=0

a = 13; b = 1170; c = -234000;
Δ = b2-4ac
Δ = 11702-4·13·(-234000)
Δ = 13536900
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:

$\sqrt{\Delta}=\sqrt{13536900}=\sqrt{152100*89}=\sqrt{152100}*\sqrt{89}=390\sqrt{89}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1170)-390\sqrt{89}}{2*13}=\frac{-1170-390\sqrt{89}}{26}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1170)+390\sqrt{89}}{2*13}=\frac{-1170+390\sqrt{89}}{26}
$