Check whether the following is the quadratic equations: (x + 2)3 = 2x(x2 - 1) - Mathematics

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Sum

Check whether the following is the quadratic equations: 

(x + 2)3 = 2x(x2 - 1)

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Solution

(x + 2)3 = 2x(x2 - 1)

⇒ x3 + 3x2(2) + 3x(2)2 + (2)3 = 2x3 - 2x

⇒ x3 + 6x2 + 12x + 8 = 2x3 - 2x

⇒ x3 +6x2 +12x + 8 -2x3 + 2x = 0

⇒ - x3 + 6x2 + 14x + 8 = 0

It is not of the form ax2 + bx + c = 0.

Hence, the given equation is not a quadratic equation.

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Chapter 4: Quadratic Equations - Exercise 4.1 [Page 73]

APPEARS IN

NCERT Mathematics Class 10
Chapter 4 Quadratic Equations
Exercise 4.1 | Q 1.7 | Page 73

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