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If one root of the equation 4x^2-2x+(lam...

If one root of the equation `4x^2-2x+(lambda-4)=0` be the reciprocal of the other, then `lambda=` `8` (b) `-8` (c) 4 (d) `-4`

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To solve the problem, we need to find the value of \( \lambda \) such that one root of the quadratic equation \( 4x^2 - 2x + (\lambda - 4) = 0 \) is the reciprocal of the other. ### Step-by-Step Solution: 1. **Understanding the Roots**: Let the roots of the equation be \( A \) and \( \frac{1}{A} \). According to the problem, one root is the reciprocal of the other. 2. **Using the Product of Roots Formula**: ...
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