x^2-0.75x=0

Solution for x^2-0.75x=0 equation:

x^2-0.75x=0

a = 1; b = -0.75; c = 0;
Δ = b2-4ac
Δ = -0.752-4·1·0
Δ = 0.5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-0.75)-\sqrt{0.5625}}{2*1}=\frac{0.75-\sqrt{0.5625}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.75)+\sqrt{0.5625}}{2*1}=\frac{0.75+\sqrt{0.5625}}{2}
$