Q22 of 39 Page 91

If α and β are the zeroes of the polynomial 6y2 – 7y + 2 Find the quadratic polynomial whose zeroes are 1/α and 1/β.

Given quadratic equation: 6y2 – 7y + 2


Here, sum of roots:


Product of roots:


For quadratic equation to have roots as ; & :







= 3


So, the required equation =



= 2x2 – 7x + 6.


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