What is the sum of all values of that satisfy the equation 4x^2 +16=32x?
A) −8
B) −4√2
C) −4
D) 4√2
E) 8
OA E
Source: Veritas Prep
What is the sum of all values of that satisfy the equation 4
This topic has expert replies
-
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
- GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
For any quadratic in the form x² + bx + c = 0:BTGmoderatorDC wrote:What is the sum of all values of that satisfy the equation 4x^2 +16=32x?
A) −8
B) −4√2
C) −4
D) 4√2
E) 8
Product of the roots = c
Sum of the roots = -b
Given equation:
4x² + 16 = 32x
4x² - 32x + 16 = 0
x² - 8x + 4 = 0
In the resulting quadratic, b=-8.
Thus:
Sum of the roots = -(-8) = 8.
The correct answer is E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3