What is the smallest of three consecutive integers if the product of the two i smallest two integers is 5 less than 5 times the largest integer

Answer 1

Thee consecutive integers:

n, n + 1, and n + 2

n(n+1) = 5(n + 2) - 5

Can you solve for n and answer?

Answer 2

Integer 1 = x

Integer 2 = x+1

Integer 3 = x+2

x(x+1)= 5(x+2) - 5

x^2 + x = 5x + 10 - 5

x^2 -4x - 5 = 0

(x+1)(x-5) = 0

x = -1 or 5

If we want the smallest integers

Integer 1 = x = -1

Integer 2 = x+1 = 0

Integer 3 = x+2 = 1