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AP EAMCET20227 Jul 2022Evening ShiftMathematicsFunctionsActual

Let f: R R be defined by f(x)=2 x+3 . If , are the roots of the equation f (x^2 )-2 f ( x 2 )-1=0 , then ^2+ ^2=

Options

  1. A13
  2. B25
  3. C5
  4. D18

Correct answer

C. 5

Step-by-step solution

array rlrl & & f(x)=2 x+3 & & f (x^2 )-2 f ( x 2 )-1=0 & 2 x^2+3-2(x+3)-1=0 & & 2 x^2-2 x-4=0 & & x^2-x-2=0 & & x=2 or x=-1 & & ^2+ ^2=4+1=5 array

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