If the equations 4x2−x−1=0 and 3x2+(λ+μ)x+λ−μ=0 have a root common, then the rational values of λ and μ are

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λ=−34

λ=0

μ=34

μ=0

answer is A.

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Detailed Solution

Roots of 4x2−x−1=0 are irrational. So, one root common implies both roots are common. Therefore,43=−1λ+μ=−1λ−μ⇒ λ=−34,μ=0

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