How-many-distinct-positive-integer-valued-solution-exist-the-equation-x-2-7x-11-x-2-13x-42-1-a-2-b-4-c-6-

Question Number 204869 by BaliramKumar last updated on 29/Feb/24

How many distinct positive integer valued solution

exist the equation {(x^{2} - 7 x + 11)}^{(x^{2} - 13 x + 42)} = 1

(a) 2 (b) 4 (c) 6 (d) 8

Answered by A5T last updated on 29/Feb/24

x^{2} - 7 x + 11 = 1 \Rightarrow x = 5 o r 2

x^{2} - 7 x + 11 = - 1 \Rightarrow x = 4 o r 3

x^{2} - 13 x + 42 = 0 \Rightarrow x = 7 o r 6 \Rightarrow (c)

Commented by BaliramKumar last updated on 29/Feb/24

thanks