BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

If \(x + y = 2\) and \(x^2 + y^2 = 2,\) what is the value of \(xy ?\)

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2898
Joined: Thu Sep 07, 2017 2:49 pmFollowed by: 5 members
Thanked: 6 times
by Vincen » Mon May 18, 2020 7:07 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

If \(x + y = 2\) and \(x^2 + y^2 = 2,\) what is the value of \(xy ?\)

A. –2
B. –1
C. 0
D. 1
E. 2

[spoiler]OA=D[/spoiler]

Source: Official Guide
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8152
Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members
Location: Los Angeles, CA
Thanked: 43 times

Re: If \(x + y = 2\) and \(x^2 + y^2 = 2,\) what is the value of \(xy ?\)

by Scott@TargetTestPrep » Sun May 24, 2020 4:56 am
Vincen wrote: ↑
Mon May 18, 2020 7:07 am
 If \(x + y = 2\) and \(x^2 + y^2 = 2,\) what is the value of \(xy ?\)

A. –2
B. –1
C. 0
D. 1
E. 2

[spoiler]OA=D[/spoiler]

Source: Official Guide
Squaring both sides of the first equation, we have:

(x + y)^2 = 2^2

x^2 + y^2 + 2xy = 4

Since we are given that x^2 + y^2 = 2, we have:

2 + 2xy = 4

2xy = 2

xy = 1

Answer: D

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1