Hmna wrote:If x^2 -7x=144 , and y and n are integers such that y^n=x , which of the following CANNOT be a value for y
A)-9
B)16
C)4
D)-3
x² - 7x - 144 = 0
(x-16)(x+9) = 0
x=16 or x=-9.
Since y^n = x, y^n = 16 or y^n = -9.
Options for y: -9, 16, 4,
-3.
The option in red is not possible.
There is no positive integer n such that (-3)^n = 16 or (-3)^n = -9.
The correct answer is
D.
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
