4,002/k=464,002k=46

Solution for 4,002/k=464,002k=46 equation:

4.002/k=464.002k=46

We move all terms to the left:

4.002/k-(464.002k)=0


Domain of the equation: k!=0

k∈R


We add all the numbers together, and all the variables

4.002/k-(+464.002k)=0

We get rid of parentheses

4.002/k-464.002k=0

We multiply all the terms by the denominator


-(464.002k)*k+4.002=0

We add all the numbers together, and all the variables

-(+464.002k)*k+4.002=0

We multiply parentheses

-464k^2+4.002=0

a = -464; b = 0; c = +4.002;
Δ = b2-4ac
Δ = 02-4·(-464)·4.002
Δ = 7427.712
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{-(0)-\sqrt{7427.712}}{2*-464}=\frac{0-\sqrt{7427.712}}{-928}
=-\frac{\sqrt{}}{-928}
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{7427.712}}{2*-464}=\frac{0+\sqrt{7427.712}}{-928}
=\frac{\sqrt{}}{-928}
$