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Which of the following is a quadratic equation? - Mathematics

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MCQ

Which of the following is a quadratic equation?

Options

  • `x^2 + 2x + 1 = (4 - x)^2 + 3`

  • `-2x^2 = (5 - x)(x - 2/5)`

  • `(k + 1)x^2 + 3/2x` = 7, where k = –1

  • `x^3 - x^2 = (x - 1)^3`

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Solution

`x^3 - x^2 = (x - 1)^3`

Explanation:

The standard form of a quadratic equation is given by,

ax2 + bx + c = 0, a ≠ 0

Given, x3 – x2 = (x – 1)3

x3 – x2 = x3 – 3x2 + 3x – 1

2x2 – 3x + 1 = 0

which represents a quadratic equation.

Concept: Quadratic Equations
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APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 4 Quadatric Euation
Exercise 4.1 | Q 1 | Page 36
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