CBSE Class 10 Answered
if one zero of 2x square-3x+k is reciprocal to other then find the value of k
Asked by ajayrath7 | 15 Mar, 2019, 19:49: PM
Expert Answer
if α and β are roots of the quadratic equation, then we have x2 -(α+β)x + ( α β ) = 0 ......................(1)
Given eqn. : 2x2 - 3x + k = 0 or x2 -(3/2)x + (k/2) = 0 ............................(2)
comparing eqn.(1) and eqn.(2), product of roots ( α β ) = k/2 = 1 , because roots are reciprocal to each other.
hence k = 2
Answered by Thiyagarajan K | 16 Mar, 2019, 09:56: AM
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