Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 19 Jul 2019, 14:05

### 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

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# If sum of the roots of the equation x^2-5x+6 = 0 is a

Author Message
TAGS:

### Hide Tags

CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2959
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
If sum of the roots of the equation x^2-5x+6 = 0 is a  [#permalink]

### Show Tags

11 Feb 2018, 05:48
00:00

Difficulty:

5% (low)

Question Stats:

84% (00:58) correct 16% (01:34) wrong based on 83 sessions

### HideShow timer Statistics

If sum of the roots of the equation $$x^2 -5x+6 = 0$$ is $$a$$ and product fo the roots of the same equation is $$b$$ then find $$a^b$$

A) $$1$$
B) $$5^6$$
C) $$6^5$$
D) $$30$$
E) $$11$$

SOURCE: http://WWW.GMATINSIGHT.COM

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Retired Moderator
Joined: 25 Feb 2013
Posts: 1196
Location: India
GPA: 3.82
If sum of the roots of the equation x^2-5x+6 = 0 is a  [#permalink]

### Show Tags

11 Feb 2018, 05:52
1
1
GMATinsight wrote:
If sum of the roots of the equation $$x^2 -5x+6 = 0$$ is $$a$$ and product fo the roots of the same equation is $$b$$ then find $$a^b$$

A) $$1$$
B) $$5^6$$
C) $$6^5$$
D) $$30$$
E) $$11$$

SOURCE: http://WWW.GMATINSIGHT.COM

Sum of roots $$=-(\frac{-5}{1})=5=a$$

Product of roots $$=\frac{6}{1}=6=b$$

therefore $$a^b=5^6$$

Option B
Intern
Joined: 28 Dec 2017
Posts: 30
Re: If sum of the roots of the equation x^2-5x+6 = 0 is a  [#permalink]

### Show Tags

11 Feb 2018, 21:42
x^2 - 5x + 6 = 0
(x - 3)(x - 2) = 0

Hence the roots are x = 3 and x = 2.
The problem states that the sum of the roots is equal to A. Hence A = 3 + 2 = 5.
The problem also states that the product of the roots is equal to B. Hence B = 3*2 = 6

The problem is looking for A^B. Hence, the answer is 5^6 (option B).
Intern
Joined: 21 Nov 2017
Posts: 6
Re: If sum of the roots of the equation x^2-5x+6 = 0 is a  [#permalink]

### Show Tags

24 Feb 2018, 22:59
sum of the roots formula is -b/a = -(-5)/1=5
in problem its is given as a soo a=5
product of roots is given as b
where its formula is c/a=6/1=6
b=6
a*b=5*6

option B
Intern
Joined: 01 Oct 2016
Posts: 5
Re: If sum of the roots of the equation x^2-5x+6 = 0 is a  [#permalink]

### Show Tags

25 Feb 2018, 12:04
Very simple one.
x^2 - (sum of squares)x+(product of squares) = 0

Hence 5^6 = B
Re: If sum of the roots of the equation x^2-5x+6 = 0 is a   [#permalink] 25 Feb 2018, 12:04
Display posts from previous: Sort by