5y=45/y,y=

Solution for 5y=45/y,y= equation:

5y=45/y.y=

We move all terms to the left:

5y-(45/y.y)=0


Domain of the equation: y.y)!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

5y-(+45/y.y)=0

We get rid of parentheses

5y-45/y.y=0

We multiply all the terms by the denominator


5y*y.y-45=0

Wy multiply elements

5y^2-45=0

a = 5; b = 0; c = -45;
Δ = b2-4ac
Δ = 02-4·5·(-45)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30}{2*5}=\frac{-30}{10}
=-3
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30}{2*5}=\frac{30}{10}
=3
$