k^2-7k=n^2 - Wolfram|Alpha

Uh oh! Wolfram|Alpha doesn't run without JavaScript.

Please enable JavaScript. If you don't know how, you can find instructionshere.Once you've done that, refresh this page to start using Wolfram|Alpha.

Input

k^2 - 7 k = n^2

Implicit plot

Implicit plot

Alternate form

(k - 7) k = n^2

k^2 - 7 k - n^2 = 0

Solutions

n = -sqrt(k - 7) sqrt(k)

n = sqrt(k - 7) sqrt(k)

Integer solution

k = -9, n = ± 12

k = 16, n = ± 12

k = 0, n = 0

k = 7, n = 0

Implicit derivatives

(dk(n))/(dn) = (2 n)/(-7 + 2 k)

(dn(k))/(dk) = (-7 + 2 k)/(2 n)

POWERED BY THE WOLFRAM LANGUAGE