11/8y=190y

Solution for 11/8y=190y equation:

11/8y=190y

We move all terms to the left:

11/8y-(190y)=0


Domain of the equation: 8y!=0

y!=0/8

y!=0

y∈R


We add all the numbers together, and all the variables

-190y+11/8y=0

We multiply all the terms by the denominator


-190y*8y+11=0

Wy multiply elements

-1520y^2+11=0

a = -1520; b = 0; c = +11;
Δ = b2-4ac
Δ = 02-4·(-1520)·11
Δ = 66880
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:

$\sqrt{\Delta}=\sqrt{66880}=\sqrt{64*1045}=\sqrt{64}*\sqrt{1045}=8\sqrt{1045}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{1045}}{2*-1520}=\frac{0-8\sqrt{1045}}{-3040}
=-\frac{8\sqrt{1045}}{-3040}
=-\frac{\sqrt{1045}}{-380}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{1045}}{2*-1520}=\frac{0+8\sqrt{1045}}{-3040}
=\frac{8\sqrt{1045}}{-3040}
=\frac{\sqrt{1045}}{-380}
$