11/8y+15=y

Solution for 11/8y+15=y equation:

11/8y+15=y

We move all terms to the left:

11/8y+15-(y)=0


Domain of the equation: 8y!=0

y!=0/8

y!=0

y∈R


We add all the numbers together, and all the variables

-1y+11/8y+15=0

We multiply all the terms by the denominator


-1y*8y+15*8y+11=0

Wy multiply elements

-8y^2+120y+11=0

a = -8; b = 120; c = +11;
Δ = b2-4ac
Δ = 1202-4·(-8)·11
Δ = 14752
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:

$\sqrt{\Delta}=\sqrt{14752}=\sqrt{16*922}=\sqrt{16}*\sqrt{922}=4\sqrt{922}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(120)-4\sqrt{922}}{2*-8}=\frac{-120-4\sqrt{922}}{-16}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(120)+4\sqrt{922}}{2*-8}=\frac{-120+4\sqrt{922}}{-16}
$