4x^2-27x-900=0

Solution for 4x^2-27x-900=0 equation:

4x^2-27x-900=0

a = 4; b = -27; c = -900;
Δ = b2-4ac
Δ = -272-4·4·(-900)
Δ = 15129
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15129}=123$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-123}{2*4}=\frac{-96}{8}
=-12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+123}{2*4}=\frac{150}{8}
=18+3/4
$