Prove that the function f(x) = a sqrt(x ...

Prove that the function `f(x) = a sqrt(x - 1) + b sqrt(2x - 1)-sqrt(2x^(2) - 3x + 1)`, where a + 2b = 2 and `a, b in R` always has a root in `(1, 5) AA b in R`

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The correct Answer is:

f(c) = 0

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