1.

If a,b are the zeroes of the given polynomial p(x)=4x^2+4x-1, then find the value of 1/a+1/b​

Answer»

ANSWER:

Given: α,β are zeroes of the POLYNOMIAL x

2

−4x+1

To find the VALUE of

α

1

+

β

1

−αβ

Sol: From the given QUADRATIC equation,

α+β=4 and αβ=1

Therefore,

α

1

+

β

1

−αβ=

αβ

α+β

−αβ

⟹=4−1=3



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