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AP EAMCET20224 Jul 2022Morning ShiftMathematicsQuadratic EquationActual

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

Options

  1. A3
  2. B2
  3. C1
  4. DInfinitely many

Correct answer

C. 1

Step-by-step solution

Given 3 x + 1 + 3 - x + 1 = 10 i.e. 3 3 x + 3 3 x = 10 ⇒ 3 3 2 x - 10 3 x + 3 = 0 ⇒ 3 x = 10 ± 100 - 36 6 = 3 ,   1 3 i.e. x = 1 ,   - 1 Hence, only one positive real root.

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