[email protected] wrote:x-1 is a perfect square- does this imply that the result will always be positive?
for example can we have -15-1=16 as a result as it gives us 16( a perfect square)
On the GMAT, a
perfect square is defined as
the square of a positive integer:
1² = 1
2² = 4
3² = 9
4² = 16
And so on.
If x-1 is a perfect square, then x-1 could be equal to any of the values in the list above:
x-1 = 1, 4, 9, 16, 25, 36...
Adding 1 to each side, we get:
x =
2, 5, 10, 17, 26, 37...
x could be equal to any of the resulting values in red.
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
