y-60/y=4

Solution for y-60/y=4 equation:

y-60/y=4

We move all terms to the left:

y-60/y-(4)=0


Domain of the equation: y!=0

y∈R


We multiply all the terms by the denominator


y*y-4*y-60=0

We add all the numbers together, and all the variables

-4y+y*y-60=0

Wy multiply elements

y^2-4y-60=0

a = 1; b = -4; c = -60;
Δ = b2-4ac
Δ = -42-4·1·(-60)
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-16}{2*1}=\frac{-12}{2}
=-6
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+16}{2*1}=\frac{20}{2}
=10
$