2x-(2/x)-15=0

Solution for 2x-(2/x)-15=0 equation:

2x-(2/x)-15=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

2x-(+2/x)-15=0

We get rid of parentheses

2x-2/x-15=0

We multiply all the terms by the denominator


2x*x-15*x-2=0

We add all the numbers together, and all the variables

-15x+2x*x-2=0

Wy multiply elements

2x^2-15x-2=0

a = 2; b = -15; c = -2;
Δ = b2-4ac
Δ = -152-4·2·(-2)
Δ = 241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-\sqrt{241}}{2*2}=\frac{15-\sqrt{241}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{241}}{2*2}=\frac{15+\sqrt{241}}{4}
$