a^3-b^3=217 - 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

a^3 - b^3 = 217

Implicit plot

Implicit plot

Alternate form

a^3 = b^3 + 217

a^3 - b^3 - 217 = 0

(a - b) (a^2 + a b + b^2) = 217

Real solution

b = (-1)^(2/3) (a^3 - 217)^(1/3)

Solutions

b = (a^3 - 217)^(1/3)

b = -(-1)^(1/3) (a^3 - 217)^(1/3)

b = (-1)^(2/3) (a^3 - 217)^(1/3)

Integer solution

a = -8, b = -9

a = 1, b = -6

a = 6, b = -1

a = 9, b = 8

Implicit derivatives

(da(b))/(db) = b^2/a^2

(db(a))/(da) = a^2/b^2

POWERED BY THE WOLFRAM LANGUAGE