2x*x-34x-120=0

Solution for 2x*x-34x-120=0 equation:

2x*x-34x-120=0

We add all the numbers together, and all the variables

-34x+2x*x-120=0

Wy multiply elements

2x^2-34x-120=0

a = 2; b = -34; c = -120;
Δ = b2-4ac
Δ = -342-4·2·(-120)
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-34)-46}{2*2}=\frac{-12}{4}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34)+46}{2*2}=\frac{80}{4}
=20
$