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The equation ax²+bx+c=0 has real and positive roots. Prove that the roots of the equation a²x²+a (3b-2c)x+(2b-c)(b-c)+ac=0 are real and positive.

The equation ax²+bx+c=0 has real and positive roots. Prove that the roots of the equation a²x²+a (3b-2c)x+(2b-c)(b-c)+ac=0 are real and positive.

Grade:11

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
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