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Find the quadratic equations whose roots are the reciprocals of the roots of 2x^2 + 5x + 3 = 0?
Question 1:
Find the quadratic equations whose roots are the reciprocals of the roots of 2x^2 + 5x + 3 = 0?
A.
3x^2 + 5x - 2 = 0
B.
3x^2 + 5x + 2 = 0
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The quadratic equation whose roots are reciprocal of 2x^2 + 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
C.
3x^2 - 5x + 2 = 0
D.
None of these
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