1,1x^2-0,88x=0,528

Solution for 1,1x^2-0,88x=0,528 equation:

1.1x^2-0.88x=0.528

We move all terms to the left:

1.1x^2-0.88x-(0.528)=0

We add all the numbers together, and all the variables

1.1x^2-0.88x-0.528=0

a = 1.1; b = -0.88; c = -0.528;
Δ = b2-4ac
Δ = -0.882-4·1.1·(-0.528)
Δ = 3.0976
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{-(-0.88)-\sqrt{3.0976}}{2*1.1}=\frac{0.88-\sqrt{3.0976}}{2.2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.88)+\sqrt{3.0976}}{2*1.1}=\frac{0.88+\sqrt{3.0976}}{2.2}
$