Future Experts come here and share their knowledge base and concepts with each other. Every article submitted is reviewed by experts. Nickels are awarded to articles in terms of authenticity, relevance, clarity and presentation.
1. To solve equation of the form (x - a)^4 + (x-b)^4= A [or in general (x - a)^2n + (x-b)^2n ]put y = x - (a+b)/2 and simplify.
2. To solve equation of the form Af(x)^2n + Bf(x)^n + C = 0 put f(x)^n = y and solve Ay^2 + By + C = 0
3. An equation of the form f(x) x g(x) X h(x) X .... [f,g and h are quadratic expressions with different constant terms but same coefficients of x and x^2 ie: ax^2 + bx ] can be solved by putting ax^2 + bx = y
4. An equation of the form (x-a)(x-b)(x-c)(x-d) = Ax^2 where 'ab = cd' can be reduced to a product of two polynomials by putting y = x + ab/x
5. An equation of the form (x-a)(x-b)(x-c)(x-d) = A where 'a < b < c
more ...
submitted by gauravthecool (75 m) on 5 Oct 2008 17:01:15 IST (2 comments 228 views)
Hi Guys ,
I am posting some great and useful tips and tricks with which you can save precious time in exams by minimizing written calculations . These tricks are based on vedic Mathematics . I hope you find them useful .
Trick 1 : Multiply any two numbers from 11 to 20 in your head.
Take 15 x 13 for example..Place the larger no. first in your mind and then do something like this Take the larger no on the top and the second digit of the smaller no. in the bottom.
15
3
The rest is quite simple. Add 15+3 = 18 . Then multiply 18 x 10 = 180 ...
Now multiply the second digit of both the no.s (ie; 5 x 3 = 15) Now add 180 + 15
Here is the answer 180 + 15 = 195 .
Thin
more ...
submitted by gauravthecool (75 m) on 4 Oct 2008 20:19:37 IST (5 comments 347 views)
People use numbers every day to benefit themselves. Statistics can be misinterpreted simply because of the way the information is given. In the following questions, you will see how some of the number tricks work and learn to explain them by using algebra. Here is an example of a trick: Choose a Number Add 5 Double the result Subtract 4 Divide the result by 2 Subtract the number you started with The result is 3 Pick 4 different starting numbers and prove that the result will always be 3. Call these solutions Part A. As we progress through our mathematical career we learn to use algebra more and do not accept a proof simply because it wo
more ...
submitted by pottermania1990 (357 m) on 18 Jul 2007 21:19:18 IST (3 comments 260 views)
h=1/2[v+m-c+a] where h=no. of orbitals involved in hybridisation v=no. of ele- in the valence shell of the central atom m=no. of monovalent atoms c=charge on cation a=charge on anion VALUE OF h => 2 3 4 5 6 7 &
more ...
submitted by a4asd (334 m) on 23 Jun 2007 11:40:56 IST (3 comments 225 views)
