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Find the quadratic equation whose roots ...

Find the quadratic equation whose roots are reciprocals of the roots of the equation `7x^(2) - 2x +9 = 0`.

A

`9x^(2) - 2x + 7 = 0`

B

`9x^(2) - 2x - 7 = 0`

C

`9x^(2) + 2x - 7 = 0`

D

`9x^(2) + 2x - 7 = 0`

Text Solution

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The correct Answer is:
A
The quadratic equation with reciprocals of the roots of the equation `f(x) = 0` is `f(1/x) = 0`.
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