5y-y^2=5,76

Solution for 5y-y^2=5,76 equation:

5y-y^2=5.76

We move all terms to the left:

5y-y^2-(5.76)=0

We add all the numbers together, and all the variables

-1y^2+5y-5.76=0

a = -1; b = 5; c = -5.76;
Δ = b2-4ac
Δ = 52-4·(-1)·(-5.76)
Δ = 1.96
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{1.96}}{2*-1}=\frac{-5-\sqrt{1.96}}{-2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{1.96}}{2*-1}=\frac{-5+\sqrt{1.96}}{-2}
$