Find the quadratic equations whose roots are the reciprocals of the roots of 2×2 + 5x + 3 = 0 ?

– by 0

A. 3x2 – 5x + 2 = 0
B. 3x2 – 5x – 2 = 0
C. 3x2 + 5x + 2 = 0
D. 3x2 + 5x – 2 = 0

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
=> 3x2 + 5x + 2 = 0

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