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Check whether the following is quadratic equation: (x – 3)(2x +1) = x(x + 5)

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NCERT Solutions for Class 10 Maths Chapter 4
Quadratic Equation IMPORTANT QUESTION
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board, 10th Maths EXERCISE 4.1,
Page No:73,
Questions No:1 Part (iv)

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1 Answer

  1. (x – 3)(2x +1) = x(x + 5)
    Simplifying the given equation, we get
    (x – 3)(2x +1) = x(x + 5)
    ⇒ 2x² – 6x + x – 3 = x² + 5x
    ⇒ x² – 10x – 3 = 0
    or x² – 10x – 3 = 0
    This is an equation of type ax² + bx + c = 0.
    Hence, the given equation is a quadratic equation.

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