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 If the roots of the equation x312x2+39x28=0 are in AP,   then their common difference will be

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a
±1
b
±2
c
±3
d
±4

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detailed solution

Correct option is C

Since,  the  given  equation  is cubic, therefore  we take three  roots.Let  the  roots be a−d,a,a+d Sum of  three numbers  in AP =  3a = 12⇒ a=4 is a root. .'. The given  equation x3−12x2+39x−28=0 can be re written as    (x−4)x2−8x+7=0∴    x=1,4,7 or 7,4,1∴    d=±3


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