Thursday, August 27, 2009

Solving maths problems using Wolfram Alpha

Recently, I won a maths challenge (ok, I am kidding... but anyways), and the secret sauce behind my quick problem solving ability was - Wolfram Alpha.



Lets look at how it solves some complex high school maths problems -
1. Find LCM (least common multiple of 5, 21, 87) = LCM(5,21,87) = answer

2. Remember quadratic equations ? Lets give it a try, solve 3x^2 + 6x -15 = 35
3. Moving on - solving linear equations? Lets try to find values of x, y and z from following :
7x + 8y - 3z = 80, 2x - 3y + 4z = 35, 6x + 2y + 3z = 50 - here is the answer
4. Finally, (I was lost by this point) - remember chain rule for solving differential equations ? Lets try differentiating (4x + x ^ -5) ^ 1/3 and the answer (Tip: All steps included)

Btw, here is complete list of examples. Wish I had this cool tool when I was in school - and the case for not having one, and a smart get away.