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Check whether the following is quadratic equation: (x – 2)(x + 1) = (x – 1)(x + 3)

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NCERT Solutions for Class X Maths Chapter 4
Quadratic Equations from NCERT Books for Session 2022-2023, CBSE Board and Others state Board
10th Maths EXERCISE 4.1,
Page No:73,
Questions No:1 Part (iii)

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1 Answer

  1. (x – 2)(x + 1) = (x – 1)(x + 3)
    Simplifying the given equation, we get
    (x – 2)(x + 1) = (x – 1)(x + 3)
    ⇒ x² – 2x + x – 2 = x² – x +3x – 3
    ⇒ – 3x + 1 = 0
    or 3x – 1 = 0
    This is not an equation of type ax² + bx + c = 0.
    Hence, the given equation is a quadratic equation.

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