Math Is Fun Forum

tony123

Member

Registered: 2007-08-03

Posts: 229

equation

Solve the following equation:

Last edited by tony123 (2009-05-22 02:37:47)

JaneFairfax

Member

Registered: 2007-02-23

Posts: 6,868

Re: equation

The LHS can be simplified to

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: equation

Hi tony123;

My brother and I were working on a similar problem a while back, The LHS is equal to

Last edited by bobbym (2009-05-22 17:03:53)

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

Re: equation

That follows directly from Jane's expression, since the left bracket in hers is 1.

You can then deduce that the equation is true for x = kπ/2, where k is an integer but not a multiple of 4.

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Why did the vector cross the road?
It wanted to be normal.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: equation

Hi mathsyperson;

True,

 
producing mine, I didn't notice that, thanks. Also it appears for:

I guess we now have enough to get the roots and answer the question.

Start with:

Expand it.

Simplify it.

Set both factors equal to 0.

Get roots:

Last edited by bobbym (2009-05-24 14:32:12)

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.