Math Is Fun Forum

thedarktiger

Member

Registered: 2014-01-10

Posts: 91

hard algebra

Let x=a and x=b be the roots of the equation x^2 - mx + 2 = 0.

Suppose that x=a+\frac 1b and x=b+\frac 1a are the roots of the equation x^2 - px + q = 0.

Determine the value of q.

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Good. You can read.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

Re: hard algebra

hi thedarktiger,

Do you mean

It looks like you can use sum of roots = -b/a and product of roots = c/a with the usual ax^2 + bx + c = 0 quadratic.

Bob

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Children are not defined by school ...........The Fonz
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Olinguito

Member

Registered: 2014-08-12

Posts: 649

Re: hard algebra

What’s so hard about it?

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Bassaricyon neblina

thedarktiger

Member

Registered: 2014-01-10

Posts: 91

Re: hard algebra

sorry, I was just really tired and not thinking.

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Good. You can read.