The values of x which satisfy the equation 51+x + 51–x = 26 are

  1. –1, 1
  2. 0, 1
  3. 1, 2
  4. –1, 0

Answer

51+x + 51–x = 26

5.5x + 5.5-x = 26

Let 5x = t

5(t + 1/t) = 26

5(t2 + 1) = 26t

5t2 - 26t + 5 = 0

5t2 - 25t - t + 5 = 0

5t(t - 5) - (t - 5) = 0

(t - 5)(5t - 1) = 0

t = 1/5, 5

5x = 1/5, 5

x = -1, 1

The correct option is A.

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