8x^2+225x-1800=0

Solution for 8x^2+225x-1800=0 equation:

8x^2+225x-1800=0

a = 8; b = 225; c = -1800;
Δ = b2-4ac
Δ = 2252-4·8·(-1800)
Δ = 108225
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:

$\sqrt{\Delta}=\sqrt{108225}=\sqrt{225*481}=\sqrt{225}*\sqrt{481}=15\sqrt{481}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(225)-15\sqrt{481}}{2*8}=\frac{-225-15\sqrt{481}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(225)+15\sqrt{481}}{2*8}=\frac{-225+15\sqrt{481}}{16}
$