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algebra problem: need help (Question)

neetu_90 said – Wed, 24 Jun 2009 18:37:58 -0000 ( Edit Link )

i’m unable to solve these questions, i’ll be glad if someone could help me out

questions: Quadratic Equations

1) if x^{2 + px + qr = 0 and x}2 + qx + rp = 0 have a common root & if roots of px^{2 + qx – r = 0 are real and equal, then show that roots are reciprocal of eachother.}

2) if ax2 + 2bx + c = 0 and a1x^{2 + 2b1x + c1 = 0 have one and only one root in common, then show that
b}2 = m^{2 + ac and b1}2 = k^2 + a1c1 where m,k belong to intergers

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Author: neetu_90; Authority 17

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jaiswal_deepak21 said – Sat, 25 Jul 2009 20:58:06 -0000 ( Flag Edit Mark / Unmark Best Link )

Neetu, I looked in to yours quadratic equation problem.Can you please describe the problem again.

in your question: ) if x2 + px + qr = 0 and x2 + qx + rp = 0 have a common root & if roots of px2 + qx – r = 0 are real and equal, then show that roots are reciprocal of eachother.

If a quadratic equation is of form ax^{2+bx+c and it’s roots are p and q.Then the quadratic equation will be cx}2+bx+a if roots are reciprocal. It is a property of quadratic eqaution that a and c will be interchanged if roots are reciprocal.
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Sureshbala said – Mon, 27 Jul 2009 11:47:10 -0000 ( Flag Edit Mark / Unmark Best Link )

Dear Neetu,

Please post your question correctly. You can take a screen shot of the question and post it here.

Regards
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