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Question

# Which of the following is not a quadratic equation?

A

(x2)2+ 1 = 2x -3

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B

(x+2)3=x3-4

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C

x(x+1)+8=(x+2)(x2)

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D

x(2x+3)=(x2+1)

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Solution

## The correct option is C x(x+1)+8=(x+2)(x–2) (a) (x−2)2+ 1 = (2x – 3) x2 – 4x + 4 + 1 = 2x - 3 x2 – 4x + 4 + 1 - 2x + 3 = 0 x2 – 6x + 8 = 0 This is a quadratic equation. (b) (x+2)3= x3 – 4 x3 + 6x2 + 12x + 8 = x3 – 4 6x2 + 12x + 12 = 0 This is a quadratic equation. (c) x(x + 1) + 8 = (x + 2) (x – 2) x2 + x + 8 = x2 – 4 x+12 = 0 This is not a Quadratic equation. (d) x(2x + 3) = x2 + 1 2x2 + 3x = x2+1 x2 +3x -1 = 0 This is a quadratic equation.

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