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Check whether the following is quadratic equations : (x + 2)³ = 2x (x² – 1)

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

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1 Answer

  1. (x + 2)³ = 2x (x² – 1)
    Simplifying the given equation, we get
    (x + 2)³ = 2x (x² – 1)
    ⇒ x³ + 6x² + 12x + 8 = 2x³ – 2x
    ⇒ – x³ + 6x² + 14x + 8 = 0
    or x³ – 6x² – 14x – 8 = 0
    This is not an equation of type ax² + bx + c = 0.
    Hence, the given equation is a quadratic equation.

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