20x^2-76x-16=

Solution for 20x^2-76x-16= equation:

20x^2-76x-16=

We move all terms to the left:

20x^2-76x-16-()=0

We add all the numbers together, and all the variables

20x^2-76x=0

a = 20; b = -76; c = 0;
Δ = b2-4ac
Δ = -762-4·20·0
Δ = 5776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5776}=76$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-76)-76}{2*20}=\frac{0}{40}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-76)+76}{2*20}=\frac{152}{40}
=3+4/5
$