-k+5/k+1=0

Solution for -k+5/k+1=0 equation:

-k+5/k+1=0


Domain of the equation: k!=0

k∈R


We add all the numbers together, and all the variables

-1k+5/k+1=0

We multiply all the terms by the denominator


-1k*k+1*k+5=0

We add all the numbers together, and all the variables

k-1k*k+5=0

Wy multiply elements

-1k^2+k+5=0

a = -1; b = 1; c = +5;
Δ = b2-4ac
Δ = 12-4·(-1)·5
Δ = 21
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{-(1)-\sqrt{21}}{2*-1}=\frac{-1-\sqrt{21}}{-2}
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{21}}{2*-1}=\frac{-1+\sqrt{21}}{-2}
$