Problema Solution
The product of two consecutive even integers is 12 less than 6 times their sum. Find the two integers. Answer in the form of paired points with the lowest of the two integers first.
Answer provided by our tutors
two consecutive even integers can be written as:
2x, 2x + 2, where x is integer
The product of two consecutive even integers is 12 less than 6 times their sum:
x(2x + 2) = 6(x + 2x + 2) - 12
by solving we find:
x1 = 0
x2 = 8
click here to see the step by step solution of the equation:
2*0 = 0
2*0 + 2 = 2
2*8 = 16
2*8 + 2 = 18
there are two pairs of solutions: (0, 2) and (16, 18).