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![[Post New]](/templates/default/images/icon_minipost_new.gif) 15 Jun 2008 12:18:22 IST
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f(x).g(x) = -a^2.x^4 + (bx + c)^2
f(x).g(x) = a^2.x^4 - b^2.x^2 - 2bc.x - c^2 = 0
Using Descartes' Rule of signs.... there is one positive root, and a max of 3 negative roots (can be 1 negative root and rest 2 imaginary).
So the least number of real roots is 1 positive and 1 negative... so atleast 2 real roots.
So the answer is (C) atleast 2 real roots.
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* Gaurav Ragtah ( aka Artemis Fowl )
* Agent 'G' [sniper] - SD-6 (Alliance of Twelve)
* Your friendly neighborhood spideyunlimited |
this reply: 10 points
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