10x^2-25x-8250=0

Solution for 10x^2-25x-8250=0 equation:

10x^2-25x-8250=0

a = 10; b = -25; c = -8250;
Δ = b2-4ac
Δ = -252-4·10·(-8250)
Δ = 330625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{330625}=575$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-575}{2*10}=\frac{-550}{20}
=-27+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+575}{2*10}=\frac{600}{20}
=30
$