45x^2-170x-40=0

Solution for 45x^2-170x-40=0 equation:

45x^2-170x-40=0

a = 45; b = -170; c = -40;
Δ = b2-4ac
Δ = -1702-4·45·(-40)
Δ = 36100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36100}=190$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-170)-190}{2*45}=\frac{-20}{90}
=-2/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-170)+190}{2*45}=\frac{360}{90}
=4
$