Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2013-01-02 21:22:20

freddogtgj
Member
Registered: 2006-12-02
Posts: 54

Help please

Hi, I would like your help in proving the following:

Your help is much appreciated.

Offline

#2 2013-01-03 00:07:10

scientia
Member
Registered: 2009-11-13
Posts: 224

Re: Help please

Offline

#3 2013-01-03 01:22:25

freddogtgj
Member
Registered: 2006-12-02
Posts: 54

Re: Help please

Sorry it has been a while since I have done any proper maths.  Could you provide the solution please?

Offline

#4 2013-01-03 01:58:28

scientia
Member
Registered: 2009-11-13
Posts: 224

Re: Help please

Substitute

into

then rearrange to the form I gave in my hint.

Not that difficult, I hope? roll

Offline

#5 2013-01-03 02:02:48

gAr
Member
Registered: 2011-01-09
Posts: 3,482

Re: Help please

Hi,

Or perhaps we can use the discriminant >= 0, by solving the quadratic in x?


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

Board footer

Powered by FluxBB