(11/8y)y=190

Solution for (11/8y)y=190 equation:

(11/8y)y=190

We move all terms to the left:

(11/8y)y-(190)=0


Domain of the equation: 8y)y!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

(+11/8y)y-190=0

We multiply parentheses

11y^2-190=0

a = 11; b = 0; c = -190;
Δ = b2-4ac
Δ = 02-4·11·(-190)
Δ = 8360
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:

$\sqrt{\Delta}=\sqrt{8360}=\sqrt{4*2090}=\sqrt{4}*\sqrt{2090}=2\sqrt{2090}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{2090}}{2*11}=\frac{0-2\sqrt{2090}}{22}
=-\frac{2\sqrt{2090}}{22}
=-\frac{\sqrt{2090}}{11}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{2090}}{2*11}=\frac{0+2\sqrt{2090}}{22}
=\frac{2\sqrt{2090}}{22}
=\frac{\sqrt{2090}}{11}
$