Check whether the following are Quadratic equations
$(x + 2)^{3} = 2 x (x^{2} - 1)$

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Check whether the following are Quadratic equations

(x + 2)^{3} = 2 x (x^{2} - 1)

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Text solutionVerified

(x + 2)^{3} = 2 x (x^{2} - 1)

\Rightarrow x^{3} + 8 + 6 x (x + 2) = 2 x^{3} - 2 x

\Rightarrow x^{3} + 8 + 6 x^{2} + 12 x - 2 x^{3} + 2 x = 0

\Rightarrow - x^{3} + 4 x^{2} + 14 x + 8 = 0

has its highest power

3

Hence it is not a quadratic equation.

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Question Text	Check whether the following are Quadratic equations $(x + 2)^{3} = 2 x (x^{2} - 1)$
Answer Type	Text solution:1
Upvotes	150