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Home / Doubts and Solutions/ICSE/Class 11 Science/Mathematics

Find value of k so that (x.x)-(k.x)-21=0 and (x.x)-3.k.x+35=0, have one common root

Asked by sujawarrier75 3rd June 2019, 11:55 AM
Answered by Expert
Answer:
L e t space a space b e space t h e space c o m m o n space r o o t space o f space x squared minus k x minus 21 equals 0 space a n d space x squared minus 3 k x plus 35 equals 0 a squared minus k a minus 21 equals 0 space a n d space a squared minus 3 k a plus 35 equals 0 F r o m space 2 n d space e q u a t i o n comma space k a equals fraction numerator a squared plus 35 over denominator 3 end fraction S u b s t i t u t i n g space t h e space v a l u e space o f space k a space i n space a squared minus k a minus 21 equals 0 comma space w e space h a v e a squared minus fraction numerator a squared plus 35 over denominator 3 end fraction minus 21 equals 0 rightwards double arrow 3 a squared minus a squared minus 35 minus 63 equals 0 rightwards double arrow 2 a squared equals 98 rightwards double arrow a squared equals 49 rightwards double arrow a equals 7 rightwards double arrow k equals 4
Answered by Expert 4th June 2019, 4:57 PM
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