3x^2-55X-100=0

Solution for 3x^2-55X-100=0 equation:

3x^2-55x-100=0

a = 3; b = -55; c = -100;
Δ = b2-4ac
Δ = -552-4·3·(-100)
Δ = 4225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4225}=65$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-55)-65}{2*3}=\frac{-10}{6}
=-1+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-55)+65}{2*3}=\frac{120}{6}
=20
$