3x^2-265x-450=0

Solution for 3x^2-265x-450=0 equation:

3x^2-265x-450=0

a = 3; b = -265; c = -450;
Δ = b2-4ac
Δ = -2652-4·3·(-450)
Δ = 75625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{75625}=275$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-265)-275}{2*3}=\frac{-10}{6}
=-1+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-265)+275}{2*3}=\frac{540}{6}
=90
$