x^2-4.1x=2.5=0

Solution for x^2-4.1x=2.5=0 equation:

x^2-4.1x=2.5=0

We move all terms to the left:

x^2-4.1x-(2.5)=0

We add all the numbers together, and all the variables

x^2-4.1x-2.5=0

a = 1; b = -4.1; c = -2.5;
Δ = b2-4ac
Δ = -4.12-4·1·(-2.5)
Δ = 26.81
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{-(-4.1)-\sqrt{26.81}}{2*1}=\frac{4.1-\sqrt{26.81}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4.1)+\sqrt{26.81}}{2*1}=\frac{4.1+\sqrt{26.81}}{2}
$