15y-1=11/2y=2

Solution for 15y-1=11/2y=2 equation:

15y-1=11/2y=2

We move all terms to the left:

15y-1-(11/2y)=0


Domain of the equation: 2y)!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

15y-(+11/2y)-1=0

We get rid of parentheses

15y-11/2y-1=0

We multiply all the terms by the denominator


15y*2y-1*2y-11=0

Wy multiply elements

30y^2-2y-11=0

a = 30; b = -2; c = -11;
Δ = b2-4ac
Δ = -22-4·30·(-11)
Δ = 1324
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:

$\sqrt{\Delta}=\sqrt{1324}=\sqrt{4*331}=\sqrt{4}*\sqrt{331}=2\sqrt{331}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{331}}{2*30}=\frac{2-2\sqrt{331}}{60}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{331}}{2*30}=\frac{2+2\sqrt{331}}{60}
$