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CBSE Class 10 Answered

Let X and Y be the roots of the equation x^2 - ax + b = 0 and An= X^n + Y^n. What is A(n+1) - a*An + b* A(n-1)?
Asked by acv27joy | 17 Sep, 2018, 05:43: PM
answered-by-expert Expert Answer
x2 - ax + b = 0
x + y = a and xy = b
An = xn + yn 
A(n+1) - aAn + bA(n-1) = An (A - a + b/A)
                                 = An - 1 (A2 - aA + b) 
                                           
Answered by Sneha shidid | 18 Sep, 2018, 11:28: AM

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