5y=250/2y,y=

Solution for 5y=250/2y,y= equation:

5y=250/2y.y=

We move all terms to the left:

5y-(250/2y.y)=0


Domain of the equation: 2y.y)!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

5y-(+250/2y.y)=0

We get rid of parentheses

5y-250/2y.y=0

We multiply all the terms by the denominator


5y*2y.y-250=0

Wy multiply elements

10y^2-250=0

a = 10; b = 0; c = -250;
Δ = b2-4ac
Δ = 02-4·10·(-250)
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100}{2*10}=\frac{-100}{20}
=-5
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100}{2*10}=\frac{100}{20}
=5
$