5x^2-11.1x=0

Solution for 5x^2-11.1x=0 equation:

5x^2-11.1x=0

a = 5; b = -11.1; c = 0;
Δ = b2-4ac
Δ = -11.12-4·5·0
Δ = 123.21
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{-(-11.1)-\sqrt{123.21}}{2*5}=\frac{11.1-\sqrt{123.21}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11.1)+\sqrt{123.21}}{2*5}=\frac{11.1+\sqrt{123.21}}{10}
$