9x-72/x+18=0

Solution for 9x-72/x+18=0 equation:

9x-72/x+18=0


Domain of the equation: x!=0

x∈R


We multiply all the terms by the denominator


9x*x+18*x-72=0

We add all the numbers together, and all the variables

18x+9x*x-72=0

Wy multiply elements

9x^2+18x-72=0

a = 9; b = 18; c = -72;
Δ = b2-4ac
Δ = 182-4·9·(-72)
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-54}{2*9}=\frac{-72}{18}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+54}{2*9}=\frac{36}{18}
=2
$