quadratic equation

juantheron · 2011-10-19 07:17:19

If

.then determine all possible solution of the equation

bobbym · 2011-10-19 08:17:47

Hi juantheron;

Try to work with that a=b=c seems to be the only solutions.

juantheron · 2011-10-19 08:23:35

Thanks bobbym

can we write given equation as

So

and

bobbym · 2011-10-19 08:29:07

Hi juantheron;

Yes! Just checking for some other solutions.

juantheron · 2011-10-19 08:34:40

but bobbym how can i check for other solution bcz expression is true for

Last edited by juantheron (2011-10-19 08:35:00)

bobbym · 2011-10-19 08:45:46

For one thing:

The LHS will always be negative if it isn't 0 and the RHS is always positive when it is not 0. So the only solution is when both sides are 0.

So the only way that is true is when x = 1 and a=b=c.

juantheron · 2011-10-19 16:34:07

Yes got it ,thanks bobbym

bobbym · 2011-10-19 19:51:25

Hi juantheron;

It is nice how these book problems always work out!

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