if a and b(alpha and beta) are zeroes of a polynomial p(x) =x^2-2x+1 then 1/alpha +1/beta = ?
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Answer:
Solution : By taking L.C.M of dinominators
→ 1/α + 1/β = (α + β)/αβ
Since we know that,
→ α + β = - Coefficient of x/Coefficient of x²
→ α + β = - 1/1 = - 1
→ αβ = Constant Term/Coefficient of x²
→ αβ = 1/1 = 1
∴ (α + β)/αβ = - 1/1
→ - 1
Answer : - 1
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Answer:
-1
Step-by-step explanation:
We are given that a polynomial
Two zeroes of polynomial are .
We have to find the value of
General quadratic polynomial
Compare with given equation
Substitute the values then we get
Hence,
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