y=4/y-1=-4/3

Solution for y=4/y-1=-4/3 equation:

y=4/y-1=-4/3

We move all terms to the left:

y-(4/y-1)=0


Domain of the equation: y-1)!=0

y∈R


We get rid of parentheses

y-4/y+1=0

We multiply all the terms by the denominator


y*y+1*y-4=0

We add all the numbers together, and all the variables

y+y*y-4=0

Wy multiply elements

y^2+y-4=0

a = 1; b = 1; c = -4;
Δ = b2-4ac
Δ = 12-4·1·(-4)
Δ = 17
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{-(1)-\sqrt{17}}{2*1}=\frac{-1-\sqrt{17}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{17}}{2*1}=\frac{-1+\sqrt{17}}{2}
$