16.87=x+2*2.5/x

Solution for 16.87=x+2*2.5/x equation:

16.87=x+2*2.5/x

We move all terms to the left:

16.87-(x+2*2.5/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(+x+2*2.5/x)+16.87=0

We get rid of parentheses

-x-2*2.5/x+16.87=0

We multiply all the terms by the denominator


-x*x+(16.87)*x-2*2.5=0

We add all the numbers together, and all the variables

-x*x+(16.87)*x-5=0

We multiply parentheses

-x*x+16.87x-5=0

Wy multiply elements

-1x^2+16.87x-5=0

a = -1; b = 16.87; c = -5;
Δ = b2-4ac
Δ = 16.872-4·(-1)·(-5)
Δ = 264.5969
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{-(16.87)-\sqrt{264.5969}}{2*-1}=\frac{-16.87-\sqrt{264.5969}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16.87)+\sqrt{264.5969}}{2*-1}=\frac{-16.87+\sqrt{264.5969}}{-2}
$