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
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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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Value of this is 4
Value of this is 4
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