Question

alpha beta gamma are zeros of x cube - 6 X square + 11 x - 6 then alpha square + beta square + Gama square =

Answer 1

Answer:

so we can rewrite it as:

Step-by-step explanation: x3 - x2 - 5x2 + 5x + 6x - 6

                                             = x2(x-1) - 5x(x-1) + 6(x-1)

                                             = (x2 -5x + 6)(x-1)

                                             = (x-3)(x-2)(x-1) = 0

 so Alpha = 3 , Beta = 2 and Gama = 1

 now sum the square of all , you get 14.