Grade 11Algebra
If both roots of ax^2+ax+1 = 0 are less than 1, then find the Complete set value of “a”
If both roots of ax^2+ax+1 = 0 are less than 1, then find the Complete set value of “a”
1 Answer
Arun
Dear student
it can be written as x^2 + x + 1/a = 0
hence for both roots less than 1
-B/2A = 0 and f(1) > 0
-1/2 =0 and 2+ 1/a > 0
(a-4)/a >=0 and (2a + 1)/a > 0
a belongs to ( – infinity , 0) U (4 , infinity) and a belongs to ( -infinity, -1/2) U (0, infinity)
Now intersection
hence a belongs to ( – infinity , -1/2) U (4 , infinity)
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