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AP EAMCET202021 Sep 2020Morning ShiftMathematicsFunctionsActual

Solve the equation, (3^ x^2-x =25-4^ x^2-x )

Options

  1. A-1 only
  2. B2 only
  3. CBoth -1 and 2
  4. DNo solution

Correct answer

C. Both -1 and 2

Step-by-step solution

Given equation (3^ x^2-x =25-4^ x^2-x ) ( 4^ x^2-x +3^ x^2-x =25=4^2+3^2 ) ( aligned & x^2-x=2 & & x^2-x-2=0 & & (x-2)(x+1)=0 & x=-1,2 aligned ) Hence, option (c) is correct.

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