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It is known that x^2 - 11x + 4c =0 has two distinct roots. I is also known that one factor is (X-C) and C is greater than zero. The larger root of the equation is ?

Asked by shubham pal 4th October 2013, 3:22 PM
Answered by Expert
Answer:
Since (x - c) is a factor substitute x = c in the equation. (Because x - c = 0 which implies x = c)

so the equation transforms to
x^2 - 11x + 4c = 0
c^2 - 11c + 4c = 0
c^2 = 7c
c = 7

Now substitute c = 7 in the equation
x^2 - 11x + 4c = 0
x^2 - 11x + 28 = 0
The roots of which are 7 and 4.
So the larger root is 7
Answered by Expert 4th October 2013, 3:35 PM
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