x^2-152x=0

Solution for x^2-152x=0 equation:

x^2-152x=0

a = 1; b = -152; c = 0;
Δ = b2-4ac
Δ = -1522-4·1·0
Δ = 23104
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{23104}=152$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-152)-152}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-152)+152}{2*1}=\frac{304}{2}
=152
$