11/5y-60=y

Solution for 11/5y-60=y equation:

11/5y-60=y

We move all terms to the left:

11/5y-60-(y)=0


Domain of the equation: 5y!=0

y!=0/5

y!=0

y∈R


We add all the numbers together, and all the variables

-1y+11/5y-60=0

We multiply all the terms by the denominator


-1y*5y-60*5y+11=0

Wy multiply elements

-5y^2-300y+11=0

a = -5; b = -300; c = +11;
Δ = b2-4ac
Δ = -3002-4·(-5)·11
Δ = 90220
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{90220}=\sqrt{4*22555}=\sqrt{4}*\sqrt{22555}=2\sqrt{22555}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-300)-2\sqrt{22555}}{2*-5}=\frac{300-2\sqrt{22555}}{-10}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-300)+2\sqrt{22555}}{2*-5}=\frac{300+2\sqrt{22555}}{-10}
$