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Check whether the following is quadratic equations : x³ – 4x² – x + 1 = (x – 2)³

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How to solve quadratic equation?
NCERT Solutions for Class 10 Maths Chapter 4 and Important NCERT Questions from Quadratic Equation
NCERT Books for Session 2022-2023 of CBSE, MP board and UP Board Others state Board, EXERCISE 4.1
Page No:73,
Questions No:1 Part (viii)

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1 Answer

  1. x3 – 4x² – x + 1 = (x – 2)³
    Simplifying the given equation, we get
    x³ – 4x² – x + 1 = (x – 2)³
    ⇒ x³ – 4x² – x + 1 = x³ – 6x² + 12x – 8
    ⇒ 2x² – 13x + 9 = 0
    or 2x² – 13x + 9 = 0
    This is an equation of type ax² +bx + c = 0
    Hence, the given equation is a quadratic equation.

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