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Which of the following is not a quadratic equation?

Question

Which of the following is not a quadratic equation?

A

2 (x + 1)^{2} = 4 x^{2} + 2 x + 1

B

2 x + x^{2} = 2 x^{2} + 5

C

(2 \times 3 x)^{2} + x^{2} = 3 x^{2} + 5 x

D

(x^{2} + 2 x)^{2} = x^{5} + 3 + 4 x^{3}

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Text solutionVerified

A.

2 (x + 1)^{2} = 4 x^{2} + 2 x + 1

2 (x^{2} + 2 x + 1) = 4 x^{2} + 2 x + 1

2 x^{2} + 4 x + 2 = 4 x^{2} + 2 x + 1

2 x^{2} + 4 x + 2 - 4 x^{2} - 2 x - 1 = 0

- 2 x^{2} + 2 x + 1 = 0

is a quadratic equation
B.

2 x + x^{2} = 2 x^{2} + 5

- x^{2} + 2 x = 5

is a quadratic equation
C.

[2 x 3]^{2} + x^{2} = 3 x^{2} + 5 x

(6 x^{2}) + x^{2} - 3 x^{2} - 5 x = 0

4 x^{2} - 5 x = 0

is a quadratic equation
D.

(x^{2} + 2 x)^{2} = x^{5} + 4 x^{3} + 3

As degree of

x

is

5

, it is not quadratic.

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Question Text	Which of the following is not a quadratic equation?
Answer Type	Text solution:1
Upvotes	150