A whole number increased by its square is 4 times itself. Find the number

let n = the number

so from the problem we get:

n + n² = 4n

subtract n from each side

n² = 3n

get both n's on the same side of the equation

n² - 3n = 0

now factor

n (n - 3) = 0

n = 0 or n = 3

If 0 is considered a whole number, there are two solutions: n = 0 and n = 3.

If not, the only solution is n = 3

since you asked for the number, we will assume 3 is the only answer