8k^2-123k=0

Solution for 8k^2-123k=0 equation:

8k^2-123k=0

a = 8; b = -123; c = 0;
Δ = b2-4ac
Δ = -1232-4·8·0
Δ = 15129
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15129}=123$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-123)-123}{2*8}=\frac{0}{16}
=0
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-123)+123}{2*8}=\frac{246}{16}
=15+3/8
$