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The equation a x^2+b x+c=0 has real and...

The equation `a x^2+b x+c=0` has real and positive roots. Prove that the roots of the equation `a^2x^2+a(3b-2c)x+(2b-c)(b-c)+a c=0` re real and positive.

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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