17=5k-2/k=

Solution for 17=5k-2/k= equation:

17=5k-2/k=

We move all terms to the left:

17-(5k-2/k)=0


Domain of the equation: k)!=0

k!=0/1

k!=0

k∈R


We add all the numbers together, and all the variables

-(+5k-2/k)+17=0

We get rid of parentheses

-5k+2/k+17=0

We multiply all the terms by the denominator


-5k*k+17*k+2=0

We add all the numbers together, and all the variables

17k-5k*k+2=0

Wy multiply elements

-5k^2+17k+2=0

a = -5; b = 17; c = +2;
Δ = b2-4ac
Δ = 172-4·(-5)·2
Δ = 329
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-\sqrt{329}}{2*-5}=\frac{-17-\sqrt{329}}{-10}
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{329}}{2*-5}=\frac{-17+\sqrt{329}}{-10}
$