A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 one year ago
if the product of two positive numbers is 1 and their difference is 5/6, then the larger number is ?
 one year ago
if the product of two positive numbers is 1 and their difference is 5/6, then the larger number is ?

This Question is Closed

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.0solve for 1 variable, either x or y, and then use that value to evaluate for the other, then compare the two variables.

Nurali
 one year ago
Best ResponseYou've already chosen the best response.1xy = 1 > x = 1/y x  y = 5/6 > x = 5/6 + y Set the x's equal to each other. 1/y = 5/6 + y 1 = (5/6)y + y^2 > [Multiply both sides by y.] 0 = y^2 + (5/6)y  1 > [Subtract 1 from both sides.] 0 = 6y^2 + 5y  6 > [Multiply both sides by 6.] 0 = (3y  2) (2y + 3) > [Factor. Or use the quadratic formula.] y = 2/3, (3/2 isn't positive) > [Set (3y  2) and (2y + 3) = 0 to solve for y.] Substitute y = 2/3 into the first equation to solve for x: x(2/3) = 1 x = 3/2 The larger number is 3/2.
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.