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 Oct, 2013, 03:22: PM

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  | 4th Oct, 2013, 03:35: PM

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