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Yes ideally on squaring, the absolute value is considered and here the value of b is unknown. But you may note that whatever the value of x be the left hand side of the equation that is 16^x + 16^-x will always be positive. You can check for yourself by taking examples, by keeping different values f...

by sukriti2hats

Sat May 31, 2014 4:53 am
Forum: GMAT Math
Topic: Exponent Problem
Replies: 2
Views: 1626

Hi samarthkansal, One shortcut of finding (1.03)^3 is by using binomial theorem. In binomial expansion of (1+x)^n (1+x)� = 1 + n·x/1! + n(n-1)x²/2! + n(n-1)(n-2)x³/3! + . . . + n(n-1)...(n-k+1)x�/n! + . . . But in this question a simple approximation can be used, (1+ x)^n is approximately equ...

by sukriti2hats

Sat May 31, 2014 4:17 am
Forum: GMAT Verbal & Essays
Topic: cube of decimal number
Replies: 2
Views: 5182

It usually depends on what is being asked in the question. For example if the question asks you to find weight or distance or something that you know can certainly not be negative then you just neglect the negative root of that quadratic equation. Otherwise, there always exist 2 roots of a quadratic...

by sukriti2hats

Sat May 31, 2014 3:56 am
Forum: GMAT Math
Topic: squares versus square roots
Replies: 4
Views: 2142

Hi gmat 72014, This explanation of OG (if it is the way you have written here - i do not have OG currently) assumes that reader already knows a few basic things. I will restate the whole problem and then try to tell you. Hope you will understand. Consider an experiment with events A, B, and C for wh...

by sukriti2hats

Sat May 31, 2014 3:40 am
Forum: GMAT Math
Topic: Need Help with Explanation - OG Edition 30 Discrete Probabil
Replies: 3
Views: 2319

21 points. In other words, there will be 21 solutions of the equation of the line formed by points (22, 12 2/3) and (7, 17 2/3).

by sukriti2hats

Sat May 31, 2014 2:39 am
Forum: GMAT Math
Topic: joining the points (22, 12 2/3) and (7, 17 2/3)
Replies: 1
Views: 1447