Thread: Solve the problem.

The product of two consecutive integers is 41 more than their sum. Find the integers

I see it as





Can you solve?

Originally Posted by pickslides

I see it as





Can you solve?

i need help

Originally Posted by westdivo

i need help

Where are you stuck? What don't you understand?

Originally Posted by westdivo

i need help

To learn how the previous poster did the translation, try the following:

Translating Word Problems

"Number" Word Problems

To learn how to multiply out the parenthetical, try here.

To learn how to factor the resulting quadratic (x^2 - x - 42), try here.

To learn how to solve quadratics in general (including factored ones), try here.

That should cover any difficulties you're having. If not, please reply with a clear listing of your steps and reasoning so far. Thank you!

Originally Posted by westdivo

The product of two consecutive integers is 41 more than their sum. Find the integers

if x is the smaller integer then x + 1 is the larger integer:
x(x + 1) = x + (x + 1) + 41
x^2 - x - 42 = 0
x = 7 or -6
x + 1 = 8 or -5