2x-720/x-4=0

Solution for 2x-720/x-4=0 equation:

2x-720/x-4=0


Domain of the equation: x!=0

x∈R


We multiply all the terms by the denominator


2x*x-4*x-720=0

We add all the numbers together, and all the variables

-4x+2x*x-720=0

Wy multiply elements

2x^2-4x-720=0

a = 2; b = -4; c = -720;
Δ = b2-4ac
Δ = -42-4·2·(-720)
Δ = 5776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5776}=76$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-76}{2*2}=\frac{-72}{4}
=-18
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+76}{2*2}=\frac{80}{4}
=20
$