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Which of the following is not a quadratic equation? - Mathematics

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MCQ

Which of the following is not a quadratic equation?

Options

  • `2(x - 1)^2 = 4x^2 - 2x + 1`

  • `2x - x^2 = x^2 + 5`

  • `(sqrt(2)x + sqrt(3))^2 + x^2 = 3x^2 - 5x`

  • `(x^2 + 2x)^2 = x^4 + 3 + 4x^3`

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Solution

`(x^2 + 2x)^2 = x^4 + 3 + 4x^3`

Explanation:

A quadratic equation is represented by the form,

ax2 + bx + c = 0, a ≠ 0

Given, (x2 + 2x)2 = x4 + 3 + 4x2

x4 + 4x3 + 4x2 = x4 + 3 + 4x2

4x3 – 3 = 0

which is a cubic equation and not a quadratic equation.

Concept: Quadratic Equations
  Is there an error in this question or solution?

APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 4 Quadatric Euation
Exercise 4.1 | Q 2 | Page 36
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