3x^2-110x-4200=0

Solution for 3x^2-110x-4200=0 equation:

3x^2-110x-4200=0

a = 3; b = -110; c = -4200;
Δ = b2-4ac
Δ = -1102-4·3·(-4200)
Δ = 62500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{62500}=250$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-110)-250}{2*3}=\frac{-140}{6}
=-23+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-110)+250}{2*3}=\frac{360}{6}
=60
$