HI !!

How can I solve this equation ???

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- December 28th 2010, 04:37 AMyehoramhard equation !
HI !!

How can I solve this equation ???

- December 28th 2010, 04:50 AMProve It
1. Expand

2. Set equal to 0

3. Factorise if possible and solve using NFL. - December 28th 2010, 04:54 AMDrSteve
Here's a clever little shortcut. 120 is equal to 5!. So x = 1 works.

- December 28th 2010, 04:55 AMSudharaka
Dear yehoram,

Therefore it is clear that x=1 is a solution.

Evaluating A,B,C and D will give you a cubic equation. The solutions can be obtained using several methods such as the Cardano's method. Refer: Cubic function - Wikipedia, the free encyclopedia - December 28th 2010, 06:15 AMsimplependulum
The key to this problem is to partition the products into two : (1) the first and the last , (2) the 2nd and the 3rd , ie

Then sub. so we have

or

thus

or

or

The four solutions are

- December 28th 2010, 06:21 AMSoroban
Hello, yehoram!

Quote:

How can I solve this equation?

. .

We have: the product of four "consecutive" numbers equals 120.

The only candidates are: .

- December 28th 2010, 07:19 AMArchie Meade
- December 28th 2010, 08:12 AMWilmer