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AP EAMCET20224 Jul 2022Morning ShiftMathematicsQuadratic EquationActual

If 4 x - 3 x - 1 2 = 3 x + 1 2 - 2 2 x - 1 then value of x is equal to

Options

  1. A5 2
  2. B2
  3. C3 2
  4. D1

Correct answer

C. 3 2

Step-by-step solution

4 x - 3 x - 1 2 = 3 x + 1 2 - 2 2 x - 1 4 x + 2 2 x - 1 = 3 x + 1 2 + 3 x - 1 2 4 x + 4 x 2 = 3 x 3 + 3 x 3 ⇒ 4 x 1 + 1 2 = 3 x 3 + 1 3 ⇒ 4 3 x = 2 3 × 4 3 = 8 3 3 = 2 3 1 2 3 = 4 3 3 2 ⇒ x = 3 2

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