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Which of the following is not a quadratic equation? (a) 3x – x^2 = x^2 + 5 (b) (x + 2)^2 = 2(x^2 – 5) (c) (sqrt(2)x + 3)^2 = 2x^2 + 6 (d) (x – 1)^2 = 3x^2 + x – 2

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Question

Which of the following is not a quadratic equation?

Options

  • 3x – x2 = x2 + 5

  • (x + 2)2 = 2(x2 – 5)

  • `(sqrt(2)x + 3)^2 = 2x^2 + 6`

  • (x – 1)2 = 3x2 + x – 2

MCQ
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Solution

`bb((sqrt(2)x + 3)^2 = 2x^2 + 6)`

Explanation:

∵ `(sqrt(2)x + 3)^2 = 2x^2 + 6` 

⇒ `2x^2 + 9 + 6sqrt(2)x = 2x^2 + 6` 

⇒ `6sqrt(2)x + 3 = 0`, which is not a quadratic equation  

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Chapter 4: Quadratic Equations - TEST YOURSELF [Page 237]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 4 Quadratic Equations
TEST YOURSELF | Q 3. | Page 237
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