x+15=6/x=-9

Solution for x+15=6/x=-9 equation:

x+15=6/x=-9

We move all terms to the left:

x+15-(6/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x-(+6/x)+15=0

We get rid of parentheses

x-6/x+15=0

We multiply all the terms by the denominator


x*x+15*x-6=0

We add all the numbers together, and all the variables

15x+x*x-6=0

Wy multiply elements

x^2+15x-6=0

a = 1; b = 15; c = -6;
Δ = b2-4ac
Δ = 152-4·1·(-6)
Δ = 249
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-\sqrt{249}}{2*1}=\frac{-15-\sqrt{249}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{249}}{2*1}=\frac{-15+\sqrt{249}}{2}
$