5x2-123x=0

Solution for 5x2-123x=0 equation:

5x^2-123x=0

a = 5; b = -123; c = 0;
Δ = b2-4ac
Δ = -1232-4·5·0
Δ = 15129
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15129}=123$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-123)-123}{2*5}=\frac{0}{10}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-123)+123}{2*5}=\frac{246}{10}
=24+3/5
$