Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 27 Oct 2016, 22:18

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If 4 is one solution of the equation x^2 + 3x + k = 10

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 35327
Followers: 6650

Kudos [?]: 85885 [0], given: 10260

If 4 is one solution of the equation x^2 + 3x + k = 10 [#permalink]

### Show Tags

06 May 2012, 09:38
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

84% (02:16) correct 16% (01:38) wrong based on 148 sessions

### HideShow timer Statistics

sravanth wrote:
If 4 is one solution of the equation x^2 + 3x + k = 10, where k is a constant, what is the other solution?

A. –7
B. –4
C. –3
D. 1
E. 6

Since x=4 is one of the solutions then substitute 4 for x: 4^2+3*4+k=10 --> k=-18.

So, we have x^2+3x-18=10 --> x^2+3x-28=0 --> (x+7)(x-4)=0 --> x=-7 or x=4.

[Reveal] Spoiler: OA

_________________
Intern
Joined: 27 Nov 2014
Posts: 5
Followers: 0

Kudos [?]: 2 [0], given: 118

Re: If 4 is one solution of the equation x^2 + 3x + k = 10 [#permalink]

### Show Tags

19 Jan 2015, 06:25
Bunuel wrote:
sravanth wrote:
If 4 is one solution of the equation x^2 + 3x + k = 10, where k is a constant, what is the other solution?

A. –7
B. –4
C. –3
D. 1
E. 6

Since x=4 is one of the solutions then substitute 4 for x: 4^4+3*4+k=10 --> k=-18.

So, we have x^2+3x-18=10 --> x^2+3x-28=0 --> (x+7)(x-4)=0 --> x=-7 or x=4.

Hi Bunuel,

Shouldn't the equation be "4^2+3*4+k=10" and not "4^4+3*4+k=10".
Math Expert
Joined: 02 Sep 2009
Posts: 35327
Followers: 6650

Kudos [?]: 85885 [0], given: 10260

Re: If 4 is one solution of the equation x^2 + 3x + k = 10 [#permalink]

### Show Tags

19 Jan 2015, 06:29
tarikk wrote:
Bunuel wrote:
sravanth wrote:
If 4 is one solution of the equation x^2 + 3x + k = 10, where k is a constant, what is the other solution?

A. –7
B. –4
C. –3
D. 1
E. 6

Since x=4 is one of the solutions then substitute 4 for x: 4^4+3*4+k=10 --> k=-18.

So, we have x^2+3x-18=10 --> x^2+3x-28=0 --> (x+7)(x-4)=0 --> x=-7 or x=4.

Hi Bunuel,

Shouldn't the equation be "4^2+3*4+k=10" and not "4^4+3*4+k=10".

Clearly it was a typo. Edited. Thank you.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 35327
Followers: 6650

Kudos [?]: 85885 [0], given: 10260

Re: If 4 is one solution of the equation x^2 + 3x + k = 10 [#permalink]

### Show Tags

19 Jan 2015, 06:30
OPEN DISCUSSION OF THIS QUESTION IS HERE: if-4-is-one-solution-of-the-equation-x2-3x-k-10-where-139119.html
_________________
Re: If 4 is one solution of the equation x^2 + 3x + k = 10   [#permalink] 19 Jan 2015, 06:30
Similar topics Replies Last post
Similar
Topics:
5 If the equation x^2−6x=k has at least one solution, which of the follo 2 11 Sep 2016, 05:30
1 What is the larger of the 2 solutions of the equation x^2 − 4x = 96 ? 3 23 Jun 2016, 12:21
7 If (x−2√3) is one factor of the equation x^2+(4√3)·x−36=0, 3 25 Sep 2013, 10:59
44 If 4 is one solution of the equation x2 + 3x + k = 10, where 12 18 Sep 2012, 02:57
4 If one root of the equation 2x^2 + 3x – k = 0 is 6, what is the value 6 17 Apr 2011, 09:17
Display posts from previous: Sort by