17.24+22.73y(0.003624-y)=100-70.42y(1+y)

Solution for 17.24+22.73y(0.003624-y)=100-70.42y(1+y) equation:

17.24+22.73y(0.003624-y)=100-70.42y(1+y)

We move all terms to the left:

17.24+22.73y(0.003624-y)-(100-70.42y(1+y))=0

We add all the numbers together, and all the variables

22.73y(-1y+0.003624)-(100-70.42y(y+1))+17.24=0

We multiply parentheses

-22y^2+0.079728y-(100-70.42y(y+1))+17.24=0


We calculate terms in parentheses: -(100-70.42y(y+1)), so:

100-70.42y(y+1)

determiningTheFunctionDomain
-70.42y(y+1)+100

We multiply parentheses

-70y^2-70y+100

Back to the equation:

-(-70y^2-70y+100)


We get rid of parentheses

-22y^2+70y^2+70y+0.079728y-100+17.24=0

We add all the numbers together, and all the variables

48y^2+70.079728y-82.76=0

a = 48; b = 70.079728; c = -82.76;
Δ = b2-4ac
Δ = 70.0797282-4·48·(-82.76)
Δ = 20801.088276554
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{-(70.079728)-\sqrt{20801.088276554}}{2*48}=\frac{-70.079728-\sqrt{20801.088276554}}{96}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(70.079728)+\sqrt{20801.088276554}}{2*48}=\frac{-70.079728+\sqrt{20801.088276554}}{96}
$