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Check whether the following are quadratic equations: (x+2)^3=x

Question

Check whether the following are quadratic equations:
$(x + 2)^{3} = x^{3} - 4$

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Elijah Discussed

Check whether the following are quadratic equations:

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

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Text solutionVerified

Given,

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

\Rightarrow x^{3} + 6 x^{2} + 12 x + 2^{3} = x^{3} - 4

\Rightarrow x^{3} + 6 x^{2} + 12 x + 2^{3} - x^{3} + 4 = 0

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

∵

The highest power of x in the equation is 2;

∴

It is a quadratic equation.

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Question Text	Check whether the following are quadratic equations: $(x + 2)^{3} = x^{3} - 4$
Answer Type	Text solution:1
Upvotes	150