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Check whether the following are the quadratic equation: (x + 1)2 = 2(x - 3)

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Question

Check whether the following are the quadratic equation:

(x + 1)2 = 2(x - 3)

Sum
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Solution

(x + 1)2 = 2(x - 3)

⇒ x2 + 2x + 1 = 2x - 6

⇒ x2 + 2x + 1 - 2x + 6 = 0

⇒ x2 + 7 = 0

It is of the form ax2 + bx + c = 0.

Hence, the given equation is a quadratic equation.

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Chapter 4: Quadratic Equations - EXERCISE 4.1 [Page 41]

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NCERT Mathematics [English] Class 10
Chapter 4 Quadratic Equations
EXERCISE 4.1 | Q 1. (i) | Page 41
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