100x^2-10x-2=0

Solution for 100x^2-10x-2=0 equation:

100x^2-10x-2=0

a = 100; b = -10; c = -2;
Δ = b2-4ac
Δ = -102-4·100·(-2)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-30}{2*100}=\frac{-20}{200}
=-1/10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+30}{2*100}=\frac{40}{200}
=1/5
$