k(15/k)-28=0

Solution for k(15/k)-28=0 equation:

k(15/k)-28=0


Domain of the equation: k)!=0

k!=0/1

k!=0

k∈R


We add all the numbers together, and all the variables

k(+15/k)-28=0

We multiply parentheses

15k^2-28=0

a = 15; b = 0; c = -28;
Δ = b2-4ac
Δ = 02-4·15·(-28)
Δ = 1680
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1680}=\sqrt{16*105}=\sqrt{16}*\sqrt{105}=4\sqrt{105}$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{105}}{2*15}=\frac{0-4\sqrt{105}}{30}
=-\frac{4\sqrt{105}}{30}
=-\frac{2\sqrt{105}}{15}
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{105}}{2*15}=\frac{0+4\sqrt{105}}{30}
=\frac{4\sqrt{105}}{30}
=\frac{2\sqrt{105}}{15}
$