Q. 224.8( 6 Votes )
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 ; & :
So, the required equation =
= 2x2 – 7x + 6.
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