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Let f(x)=x3−3x22+x+14 and ⎛⎜⎜⎝3/4∫1/4f(f(x))dx⎞⎟⎟⎠−1=α. If one of the roots of the equation x3−(α+2)x2+9x−α=0 is k (k>1), then the value of k is |
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Answer» Let f(x)=x3−3x22+x+14 and ⎛⎜ ⎜⎝3/4∫1/4f(f(x))dx⎞⎟ ⎟⎠−1=α. If one of the roots of the equation x3−(α+2)x2+9x−α=0 is k (k>1), then the value of k is |
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