The number of positive real roots of the equation 3 x + 1 + 3 - x + 1 = 10 is

The number of positive real roots of the equation 3x+1+3-x+1=10 is
  1. 3
  2. 2
  3. 1
  4. Infinitely many

Solution

Given 3x+1+3-x+1=10

i.e. 33x+33x=10

⇒332x-103x+3=0

⇒3x=10±100-366=3, 13

i.e. x=1, -1

Hence, only one positive real root.

Asked in: AP EAMCET 2022 (04 Jul Shift 1)

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