22=60/y2

Solution for 22=60/y2 equation:

22=60/y2

We move all terms to the left:

22-(60/y2)=0


Domain of the equation: y2)!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

-(+60/y2)+22=0

We get rid of parentheses

-60/y2+22=0

We multiply all the terms by the denominator


22*y2-60=0

We add all the numbers together, and all the variables

22y^2-60=0

a = 22; b = 0; c = -60;
Δ = b2-4ac
Δ = 02-4·22·(-60)
Δ = 5280
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:

$\sqrt{\Delta}=\sqrt{5280}=\sqrt{16*330}=\sqrt{16}*\sqrt{330}=4\sqrt{330}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{330}}{2*22}=\frac{0-4\sqrt{330}}{44}
=-\frac{4\sqrt{330}}{44}
=-\frac{\sqrt{330}}{11}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{330}}{2*22}=\frac{0+4\sqrt{330}}{44}
=\frac{4\sqrt{330}}{44}
=\frac{\sqrt{330}}{11}
$