A. Write an equation representing the fact that the product of two consecutive even integers is 120

Question

***2nd part to question: solve the equation from part a to find the two integers***

A. Write and equation in terms of x that represents the given relationship

b. Solve the equation to find the dimensions of the given shape

Answer 1

Consecutive even integers differ by two.

first even integer we call x the second we call

x + 2. Product means multiply. Therefore

x(x + 2) = 120 or x^2 + 2x = 120

x^2 + 2x -120 = 0 factor into

(x + 12)(x - 10) = 0 solving

x = -12 and/or x =10, negative 12 does not work.

Therefore 10 and 12 are your two even integers.