13x^2-117x=0

Solution for 13x^2-117x=0 equation:

13x^2-117x=0

a = 13; b = -117; c = 0;
Δ = b2-4ac
Δ = -1172-4·13·0
Δ = 13689
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13689}=117$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-117)-117}{2*13}=\frac{0}{26}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-117)+117}{2*13}=\frac{234}{26}
=9
$