y+1/5y=245

Solution for y+1/5y=245 equation:

y+1/5y=245

We move all terms to the left:

y+1/5y-(245)=0


Domain of the equation: 5y!=0

y!=0/5

y!=0

y∈R


We multiply all the terms by the denominator


y*5y-245*5y+1=0

Wy multiply elements

5y^2-1225y+1=0

a = 5; b = -1225; c = +1;
Δ = b2-4ac
Δ = -12252-4·5·1
Δ = 1500605
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1225)-\sqrt{1500605}}{2*5}=\frac{1225-\sqrt{1500605}}{10}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1225)+\sqrt{1500605}}{2*5}=\frac{1225+\sqrt{1500605}}{10}
$