13x^2-204x=0

Solution for 13x^2-204x=0 equation:

13x^2-204x=0

a = 13; b = -204; c = 0;
Δ = b2-4ac
Δ = -2042-4·13·0
Δ = 41616
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{41616}=204$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-204)-204}{2*13}=\frac{0}{26}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-204)+204}{2*13}=\frac{408}{26}
=15+9/13
$