Y=-x^2-11x/2

Solution for Y=-x^2-11x/2 equation:

=-Y^2-11Y/2

We move all terms to the left:

-(-Y^2-11Y/2)=0

We get rid of parentheses

Y^2+11Y/2=0

We multiply all the terms by the denominator


Y^2*2+11Y=0

Wy multiply elements

2Y^2+11Y=0

a = 2; b = 11; c = 0;
Δ = b2-4ac
Δ = 112-4·2·0
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-11}{2*2}=\frac{-22}{4}
=-5+1/2
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+11}{2*2}=\frac{0}{4}
=0
$