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The number of solution of ^2 x=3-3 x x [0,2 ] is

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

B. 1

Step-by-step solution

We have, ^2 x=3-3 x aligned & 1- ^2 x=3-3 x & ^2 x-3 x+2=0 & ( x-1)( x-2)=0 & x-2=0 & x=2 has no solution aligned x=1 has one solution which is x= 2

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