Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 2512:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Apr 2601:30 AM EDT
-02:30 AM EDT
Learn how Keshav, a Chartered Accountant, scored an impressive 705 on GMAT in just 30 days with GMATWhiz's expert guidance. In this video, he shares preparation tips and strategies that worked for him, including the mock, time management, and more.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
May 0111:00 AM PDT
-12:00 PM PDT
Free- full-length test + 15 concept videos + 150+ short videos + study plan!
20 Sep 2010, 03:32
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
68% (01:04) correct
32%
(01:07)
wrong
based on 364
sessions
History
Date
Time
Result
Not Attempted Yet
On a two dimensional coordinate plane, the curve y = x^2 - x^3 intersects the x-axis at how many points?
A. 0
B. 1
C. 2
D. 3
E. 4
A. 0
B. 1
C. 2
D. 3
E. 4
I got the answer as B,
The way i solved the question was to find at how many points a curve touches x axis is by putting y = 0 , when we put y=0 then we get the equation x^2 - x^3 =0
So x^2 = x^3, so cancelling x on both the sides we get x = 1
so the curve touches x axis at x=1 so the answer is B,
But the official answer is C, wat is wrong my method of solving ?
The way i solved the question was to find at how many points a curve touches x axis is by putting y = 0 , when we put y=0 then we get the equation x^2 - x^3 =0
So x^2 = x^3, so cancelling x on both the sides we get x = 1
so the curve touches x axis at x=1 so the answer is B,
But the official answer is C, wat is wrong my method of solving ?
20 Sep 2010, 03:39
Kudos
Bookmarks
sachinrelan
X-intercepts of a graph of a function, in our case \(y=x^2-x^3\) is the values of \(x\) for \(y=0\).
\(y=0\) --> \(x^2-x^3=0\) --> \(x^2(1-x)=0\) --> two solutions: \(x=0\) and \(x=1\).
Answer: C.
The way you are doing is wrong as when reducing (dividing) the equation \(x^2=x^3\) by \(x^2\) you are assuming that \(x\neq{0}\), so excluding this solution.
Never reduce equation by variable (or expression with variable), if you are not certain that variable (or expression with variable) doesn't equal to zero. We can not divide by zero.
Hope it's clear.
29 Oct 2016, 02:12
Kudos
Bookmarks
Bunuel, in mgmat tells us that the number of times a parabola touches the x axis can be figured out calucating the value of b^2-4ac for any equation in the form of ax^2+bx+c. can that concept be applied for the equaiton of this question - x^2-x^3? Let me know your thoughts, thank you.
