5-2d=2/d

Solution for 5-2d=2/d equation:

5-2d=2/d

We move all terms to the left:

5-2d-(2/d)=0


Domain of the equation: d)!=0

d!=0/1

d!=0

d∈R


We add all the numbers together, and all the variables

-2d-(+2/d)+5=0

We get rid of parentheses

-2d-2/d+5=0

We multiply all the terms by the denominator


-2d*d+5*d-2=0

We add all the numbers together, and all the variables

5d-2d*d-2=0

Wy multiply elements

-2d^2+5d-2=0

a = -2; b = 5; c = -2;
Δ = b2-4ac
Δ = 52-4·(-2)·(-2)
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-3}{2*-2}=\frac{-8}{-4}
=+2
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+3}{2*-2}=\frac{-2}{-4}
=1/2
$