3x^2-150x-5625=0

Solution for 3x^2-150x-5625=0 equation:

3x^2-150x-5625=0

a = 3; b = -150; c = -5625;
Δ = b2-4ac
Δ = -1502-4·3·(-5625)
Δ = 90000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{90000}=300$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-150)-300}{2*3}=\frac{-150}{6}
=-25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-150)+300}{2*3}=\frac{450}{6}
=75
$