Find the quadratic equations whose roots are the reciprocals of the roots of 2x^2 + 5x + 3 = 0?
- 3x^2 + 5x + 2 = 0
- 3x^2 - 5x + 2 = 0
- 3x^2 - 5x - 2 = 0
- 3x^2 + 5x - 2 = 0
Explanation
The quadratic equation whose roots are reciprocal of:
2x2 + 5x + 3 = 0 can be obtained by replacing x by 1/x.
Hence, 2(1/x)2 + 5(1/x) + 3 = 0
=> 3x^2 + 5x + 2 = 0
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