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Grade: 11
        
 The numbers x (x²+ 1), - 1/2 x² and 6 are three consecutive terms of an AP.  if x be real, then the next two terms of the AP are
A) 14,22
B) 0,-8
C) -2,-10
D) noneof these
Please solve fully with step
one year ago

Answers : (1)

Arun
23008 Points
							
Dear student
 
- x^2  = x^3 + x + 6
 
x^3 + x^2 + x+ 6 = 0
 
it is always increasing function hence only one real root is possible.
 
x = – 2 is only solution.
 
hence terms are
 
- 10  , – 2 , 6
common difference is 8.
 
hence next two terms are 14 and 22
one year ago
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