10/y+9=8y+6

Solution for 10/y+9=8y+6 equation:

10/y+9=8y+6

We move all terms to the left:

10/y+9-(8y+6)=0


Domain of the equation: y!=0

y∈R


We get rid of parentheses

10/y-8y-6+9=0

We multiply all the terms by the denominator


-8y*y-6*y+9*y+10=0

We add all the numbers together, and all the variables

3y-8y*y+10=0

Wy multiply elements

-8y^2+3y+10=0

a = -8; b = 3; c = +10;
Δ = b2-4ac
Δ = 32-4·(-8)·10
Δ = 329
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{-(3)-\sqrt{329}}{2*-8}=\frac{-3-\sqrt{329}}{-16}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{329}}{2*-8}=\frac{-3+\sqrt{329}}{-16}
$