1.7/9y+18)=-1.79y-5)

Solution for 1.7/9y+18)=-1.79y-5) equation:

1.7/9y+18)=-1.79y-5)

We move all terms to the left:

1.7/9y+18)-(-1.79y-5))=0


Domain of the equation: 9y!=0

y!=0/9

y!=0

y∈R


We add all the numbers together, and all the variables

-1.79y+1.7/9y=0

We multiply all the terms by the denominator


-(1.79y)*9y+1.7=0

We add all the numbers together, and all the variables

-(+1.79y)*9y+1.7=0

We multiply parentheses

-9y^2+1.7=0

a = -9; b = 0; c = +1.7;
Δ = b2-4ac
Δ = 02-4·(-9)·1.7
Δ = 61.2
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{61.2}}{2*-9}=\frac{0-\sqrt{61.2}}{-18}
=-\frac{\sqrt{}}{-18}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{61.2}}{2*-9}=\frac{0+\sqrt{61.2}}{-18}
=\frac{\sqrt{}}{-18}
$