Math-Book-GMAT-Club

E.g.
Here let
So the solution is y=1,2 or x^3=1,2 or x=1,cube_root(3)
Other tricks
Sometimes we are given conditions such as the variables being integers which make the solutions much easier to
find. When we know that the solutions are integral, often times solutions are easy to find using just brute force.
E.g.
and we know a,b are integers such that a<b
We can solve this by testing values of a and checking if we can find b
a=1 b=root(115) Not integer
a=2 b=root(112) Not integer
a=3 b=root(107) Not integer
a=4 b=root(100)=10
a=5 b=root(91) Not integer
a=6 b=root(80) Not integer
a=7 b=root(67) Not integer
a=8 b=root(52)<a
So the answer is (4,10)
Algebraic Identities
These can be very useful in simplifying & solving a lot of questions :
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GMAT Club Math Book
part of GMAT ToolKit iPhone App