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The number of values of x in the interval [0,3 ] satisfying 2 ^2 x+5 ^2 x-3=0 is

Options

  1. A1
  2. B6
  3. C4
  4. D2

Correct answer

C. 4

Step-by-step solution

aligned & 2 ^2 x+5 x-3=0 & ( x+3)(2 x-1)=0 & x=-3 or x= 1 2 & no solution or x= 6 & x=n +(-1) n 6 aligned But x [0,3 ] x= 6 , 5 6 , 13 6 , 17 6 four solution

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