GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 23 Jan 2020, 04:07

### 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

# What is the value of 4x^2 + 5x – 2 ?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 60625
What is the value of 4x^2 + 5x – 2 ?  [#permalink]

### Show Tags

15 Nov 2019, 02:37
00:00

Difficulty:

(N/A)

Question Stats:

51% (01:33) correct 49% (01:34) wrong based on 63 sessions

### HideShow timer Statistics

What is the value of $$4x^2 + 5x – 2$$ ?

(1) $$4x^2 + 4x + 1 = 0$$

(2) $$x(4x + 5) = 2$$

Are You Up For the Challenge: 700 Level Questions

_________________
Manager
Joined: 05 Oct 2014
Posts: 128
Location: India
Concentration: General Management, Strategy
GMAT 1: 580 Q41 V28
GPA: 3.8
WE: Project Management (Energy and Utilities)
Re: What is the value of 4x^2 + 5x – 2 ?  [#permalink]

### Show Tags

15 Nov 2019, 02:54
What is the value of $$4x^2 + 5x – 2$$ ?

(1) $$4x^2 + 4x + 1 = 0$$

(2) $$x(4x + 5) = 2$$

(1) Solving equation, x =-1/2, Solution of the given equation cant be found
(2) we cant find value of x. INSUFFICIENT.
Intern
Joined: 22 Mar 2018
Posts: 6
GMAT 1: 650 Q50 V28
GMAT 2: 720 Q50 V37
Re: What is the value of 4x^2 + 5x – 2 ?  [#permalink]

### Show Tags

15 Nov 2019, 08:21
What is the value of 4x2+5x–24x2+5x–2 ?

(1) 4x2+4x+1=04x2+4x+1=0

(2) x(4x+5)=2x(4x+5)=2

From Statement 1 we find x=-1/2 Hence value of 4x2+5x–24x2+5x–2 = -7/2

From Statement 2 we find value of equation = 0
Manager
Joined: 11 Mar 2018
Posts: 157
Re: What is the value of 4x^2 + 5x – 2 ?  [#permalink]

### Show Tags

15 Nov 2019, 11:53
1
1
Bunuel wrote:
What is the value of $$4x^2 + 5x – 2$$ ?

(1) $$4x^2 + 4x + 1 = 0$$

(2) $$x(4x + 5) = 2$$

Are You Up For the Challenge: 700 Level Questions

From Statement - 1 : $$4x^2 + 4x + 1 = 0$$
It is of the form $$ax^2 + bx + c = 0$$
To find Roots, we use discriminant formula;
$$D = b^2 - 4ac$$
$$D = (4)^2 - 4(4)(1)$$
D = 16 - 16 = 0
This means roots are equal.

Hence we will have a unique value of 'x' and we can substitute the same in $$4x^2 + 5x – 2$$ and find the equation's value.

Hence Sufficient

From Statement - 2 : $$x(4x + 5) = 2$$
Expanding equation :
$$4x^2 + 5x = 2$$
$$4x^2 + 5x - 2 = 0$$

equation's value = 0

Hence Sufficient

Director
Joined: 27 May 2012
Posts: 948
Re: What is the value of 4x^2 + 5x – 2 ?  [#permalink]

### Show Tags

19 Nov 2019, 12:40
Bunuel wrote:
What is the value of $$4x^2 + 5x – 2$$ ?

(1) $$4x^2 + 4x + 1 = 0$$

(2) $$x(4x + 5) = 2$$

Are You Up For the Challenge: 700 Level Questions

Just a Note :

Both the statements are giving different answer values
From statement 1 we get x= -1/2 then $$4x^2 + 5x – 2$$ = -3.5

Well as from statement 2 we get $$4x^2 + 5x – 2$$ = 0

So both the statements are giving different values. This should not happen.
_________________
- Stne
Re: What is the value of 4x^2 + 5x – 2 ?   [#permalink] 19 Nov 2019, 12:40
Display posts from previous: Sort by