The product of two consecutive integers is 72. The equation x (x + 1) = 72 represents the situation, where x

represents the smaller integer. Which equation can be factored and solved for the smaller integer?

x2 + x - 72 = 0

x2 + x + 72 = 0

x2 + 2x - 72 = 0

x2 + 2x + 72 = 0

Question

Jayla Christian

Mathematics

6 April, 08:14

The product of two consecutive integers is 72. The equation x (x + 1) = 72 represents the situation, where x

represents the smaller integer. Which equation can be factored and solved for the smaller integer?

x2 + x - 72 = 0

x2 + x + 72 = 0

x2 + 2x - 72 = 0

x2 + 2x + 72 = 0

+3

Answers (2)

Know the Answer?

Azul Abbott · Answer 1

x (x + 1) = 72

Expanding the brackets, we get:

x^{2}+x=72

Subtracting 72 from both sides, gives:

x^{2}+x-72=0

This is the required equation to be factored and solved.

Joel Padilla · Answer 2

x2 + x - 72=0

Step-by-step explanation:

i took the test on edge.

The product of two consecutive integers is 72. The equation x (x + 1) = 72 represents the situation, where xrepresents the smaller integer. Which equation can be factored and solved for the smaller integer?x2 + x - 72 = 0x2 + x + 72 = 0x2 + 2x - 72 = 0x2 + 2x + 72 = 0

The product of two consecutive integers is 72. The equation x (x + 1) = 72 represents the situation, where x

represents the smaller integer. Which equation can be factored and solved for the smaller integer?

x2 + x - 72 = 0

x2 + x + 72 = 0

x2 + 2x - 72 = 0

x2 + 2x + 72 = 0