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Solution: What is the equation whose roots are the reciprocal of the roots of 2x^2 – 3x – 5 = 0?

What is the equation whose roots are the reciprocal of the roots of 2x^2 – 3x – 5 = 0?

Problem Statement: ECE Board March 1996

What is the equation whose roots are the reciprocal of the roots of 2x^2 – 3x – 5 = 0?

  • A. 5×2 + 3x – 2 = 0
  • B. 2×2 + 3x – 5 = 0
  • C. 3×2 – 3x +2 = 0
  • D. 2×2 + 5x – 3 = 0

Problem Answer:

The equation whose roots are the reciprocal of the roots is 5x^2 + 3x – 2 = 0.

Solution:

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