360/5.5y=3.5y

Solution for 360/5.5y=3.5y equation:

360/5.5y=3.5y

We move all terms to the left:

360/5.5y-(3.5y)=0


Domain of the equation: 5.5y!=0

y!=0/5.5

y!=0

y∈R


We add all the numbers together, and all the variables

360/5.5y-(+3.5y)=0

We get rid of parentheses

360/5.5y-3.5y=0

We multiply all the terms by the denominator


-(3.5y)*5.5y+360=0

We add all the numbers together, and all the variables

-(+3.5y)*5.5y+360=0

We multiply parentheses

-15y^2+360=0

a = -15; b = 0; c = +360;
Δ = b2-4ac
Δ = 02-4·(-15)·360
Δ = 21600
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:

$\sqrt{\Delta}=\sqrt{21600}=\sqrt{3600*6}=\sqrt{3600}*\sqrt{6}=60\sqrt{6}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{6}}{2*-15}=\frac{0-60\sqrt{6}}{-30}
=-\frac{60\sqrt{6}}{-30}
=-\frac{2\sqrt{6}}{-1}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{6}}{2*-15}=\frac{0+60\sqrt{6}}{-30}
=\frac{60\sqrt{6}}{-30}
=\frac{2\sqrt{6}}{-1}
$