36/x=9,x=4

Solution for 36/x=9,x=4 equation:

36/x=9.x=4

We move all terms to the left:

36/x-(9.x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

36/x-(+9.x)=0

We get rid of parentheses

36/x-9.x=0

We multiply all the terms by the denominator


-(9.x)*x+36=0

We add all the numbers together, and all the variables

-(+9.x)*x+36=0

We multiply parentheses

-9x^2+36=0

a = -9; b = 0; c = +36;
Δ = b2-4ac
Δ = 02-4·(-9)·36
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36}{2*-9}=\frac{-36}{-18}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36}{2*-9}=\frac{36}{-18}
=-2
$