Y+2/y+4=y+1/y+3+1

Solution for Y+2/y+4=y+1/y+3+1 equation:

+2/Y+4=Y+1/Y+3+1

We move all terms to the left:

+2/Y+4-(Y+1/Y+3+1)=0


Domain of the equation: Y!=0

Y∈R



Domain of the equation: Y+3+1)!=0

We move all terms containing Y to the left, all other terms to the right

Y+1)!=-3

Y∈R


We add all the numbers together, and all the variables

2/Y-(Y+1/Y+4)+4=0

We get rid of parentheses

2/Y-Y-1/Y-4+4=0

We multiply all the terms by the denominator


-Y*Y-4*Y+4*Y+2-1=0

We add all the numbers together, and all the variables

-Y*Y+1=0

Wy multiply elements

-1Y^2+1=0

a = -1; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-1)·1
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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