(11/16)(y)=14

Solution for (11/16)(y)=14 equation:

(11/16)(y)=14

We move all terms to the left:

(11/16)(y)-(14)=0


Domain of the equation: 16)y!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

(+11/16)y-14=0

We multiply parentheses

11y^2-14=0

a = 11; b = 0; c = -14;
Δ = b2-4ac
Δ = 02-4·11·(-14)
Δ = 616
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:

$\sqrt{\Delta}=\sqrt{616}=\sqrt{4*154}=\sqrt{4}*\sqrt{154}=2\sqrt{154}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{154}}{2*11}=\frac{0-2\sqrt{154}}{22}
=-\frac{2\sqrt{154}}{22}
=-\frac{\sqrt{154}}{11}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{154}}{2*11}=\frac{0+2\sqrt{154}}{22}
=\frac{2\sqrt{154}}{22}
=\frac{\sqrt{154}}{11}
$