R programming Linear Equation

Question

Is it possible in R, to list a set of certain possible values for a given equation? For example:

Fora, b, and c with the formula a^3 + b^2 = c.

How can this be tested for all combinations of a and b such that a and b are less than 1000 and c to satisfy the formula and check if the variables are also valid inputs?

Answer 1

Use expand.grid to get all possible combinations and then subset the ones you require:

vals <- expand.grid(x=seq(1000), y=seq(1000))
subset(vals, a^3 + b^2 == 108)
#      a  b
# 8003 3  9
# 9002 2 10