5.5x^2-13x=0

Solution for 5.5x^2-13x=0 equation:

5.5x^2-13x=0

a = 5.5; b = -13; c = 0;
Δ = b2-4ac
Δ = -132-4·5.5·0
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-13}{2*5.5}=\frac{0}{11}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+13}{2*5.5}=\frac{26}{11}
=2+4/11
$