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

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Question

Which of the following is not a quadratic equation?

Options

  • 2(x – 1)2 = 4x2 – 2x + 1

  • 2x – x2 = x2 + 5

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

  • (x2 + 2x)2 = x4 + 3 + 4x3

MCQ

Solution

`bb((sqrt2x + sqrt3)^2 + x^2 = 3x^2 - 5x)`

Explanation:

Considering `(sqrt2x + sqrt3)^2 + x^2` = 3x2 – 5x

`\implies 2x^2 + 3 + 2sqrt(6)x + x^2` = 3x2 – 5x

`\implies 5x + 2sqrt(6) + 3` = 0

Hence, it is not a quadratic equation.

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Chapter 4: Quadatric Euation - Exercise 4.1 [Page 36]
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