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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, 07:49: PM
answered-by-expert 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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