X=4x/x-144

Solution for X=4x/x-144 equation:

X=4X/X-144

We move all terms to the left:

X-(4X/X-144)=0


Domain of the equation: X-144)!=0

X∈R


We get rid of parentheses

X-4X/X+144=0

We multiply all the terms by the denominator


X*X-4X+144*X=0

We add all the numbers together, and all the variables

140X+X*X=0

Wy multiply elements

X^2+140X=0

a = 1; b = 140; c = 0;
Δ = b2-4ac
Δ = 1402-4·1·0
Δ = 19600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{19600}=140$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(140)-140}{2*1}=\frac{-280}{2}
=-140
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(140)+140}{2*1}=\frac{0}{2}
=0
$