x^2-x=0,75

Solution for x^2-x=0,75 equation:

x^2-x=0.75

We move all terms to the left:

x^2-x-(0.75)=0

We add all the numbers together, and all the variables

x^2-1x-0.75=0

a = 1; b = -1; c = -0.75;
Δ = b2-4ac
Δ = -12-4·1·(-0.75)
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-2}{2*1}=\frac{-1}{2}
=-1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+2}{2*1}=\frac{3}{2}
=1+1/2
$