9x-162/x-63=0

Solution for 9x-162/x-63=0 equation:

9x-162/x-63=0


Domain of the equation: x!=0

x∈R


We multiply all the terms by the denominator


9x*x-63*x-162=0

We add all the numbers together, and all the variables

-63x+9x*x-162=0

Wy multiply elements

9x^2-63x-162=0

a = 9; b = -63; c = -162;
Δ = b2-4ac
Δ = -632-4·9·(-162)
Δ = 9801
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9801}=99$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-63)-99}{2*9}=\frac{-36}{18}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-63)+99}{2*9}=\frac{162}{18}
=9
$