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Question
The solution set of the equation, x ϵ R, (45)x=2x−x2 - 10 is :
The solution set of the equation, x ϵ R, (45)x=2x−x2 - 10 is :
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Solution
The correct option is C
R.H.S = 2x - x2−10=−(x−1)2−9<0 ∀x∈R.
And L.H.S = (45)x>0 ∀ xϵ R .
Hence there is no real solution.
R.H.S = 2x - x2−10=−(x−1)2−9<0 ∀x∈R.
And L.H.S = (45)x>0 ∀ xϵ R .
Hence there is no real solution.
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