-9/2y+13/1y=1530-765

Solution for -9/2y+13/1y=1530-765 equation:

-9/2y+13/1y=1530-765

We move all terms to the left:

-9/2y+13/1y-(1530-765)=0


Domain of the equation: 2y!=0

y!=0/2

y!=0

y∈R



Domain of the equation: 1y!=0

y∈R


We add all the numbers together, and all the variables

-9/2y+13/1y-765=0

We calculate fractions


(-9y)/2y^2+26y/2y^2-765=0

We multiply all the terms by the denominator


(-9y)+26y-765*2y^2=0

We add all the numbers together, and all the variables

26y+(-9y)-765*2y^2=0

Wy multiply elements

-1530y^2+26y+(-9y)=0

We get rid of parentheses

-1530y^2+26y-9y=0

We add all the numbers together, and all the variables

-1530y^2+17y=0

a = -1530; b = 17; c = 0;
Δ = b2-4ac
Δ = 172-4·(-1530)·0
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-17}{2*-1530}=\frac{-34}{-3060}
=1/90
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+17}{2*-1530}=\frac{0}{-3060}
=0
$