5x^2-75.1x+156=0

Solution for 5x^2-75.1x+156=0 equation:

5x^2-75.1x+156=0

a = 5; b = -75.1; c = +156;
Δ = b2-4ac
Δ = -75.12-4·5·156
Δ = 2520.01
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75.1)-\sqrt{2520.01}}{2*5}=\frac{75.1-\sqrt{2520.01}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75.1)+\sqrt{2520.01}}{2*5}=\frac{75.1+\sqrt{2520.01}}{10}
$