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Find the quadratic equations whose roots are the reciprocals of the roots of 2x2+5x+3 ? A) 3x2+5x+2=0 B) 5x2+3x+2=0 C) 3x2-5x-2=0 D) None

Correct Answer: A

Explanation:

The quadratic equation whose roots are reciprocal of 2 x 2 + 5 x + 3 = 0  can be obtained by replacing x by 1/x.


 


Hence, 2(1/x)(1/x)+ 5(1/x) + 3 = 0


 


=>  3 x 2 + 5 x + 2 = 0


 


 


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