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Find the common difference of an AP formed by inserting 5 arithmetic means between two numbers which are roots of the equation:

x squared minus 18 x plus 45=0?

Asked by Topperlearning User 5th October 2016, 5:56 AM
Answered by Expert

x squared minus 18 x plus 45 equals 0
x squared minus 3 x minus 15 x plus 45 equals 0
left parenthesis x minus 3 right parenthesis left parenthesis x minus 15 right parenthesis equals 0
s o space t h e space r o o t s space a r e space 3 space a n d space 15.
A c c o r d i n g space t o space t h e space q u e s t i o n space 5 space A M space a r e space t o space b e space i n s e r t e d space b e t w e e n space 3 space a n d space 15
s o space n equals 5
C o m m o n space d i f f e r e n c e space i s space g i v e n space b y space fraction numerator 15 minus 3 over denominator n plus 1 end fraction equals 12 over 6 equals 2

Answered by Expert 5th October 2016, 7:56 AM
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