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Check whether the following are Quadratic equations { x }^{ 3

Question

Check whether the following are Quadratic equations
$x^{3} - 4 x^{2} - x + 1 = (x - 2)^{3}$

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Check whether the following are Quadratic equations

x^{3} - 4 x^{2} - x + 1 = (x - 2)^{3}

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11 mins ago

Text solutionVerified

x^{3} - 4 x^{2} - x + 1 = (x - 2)^{3}

\Rightarrow x^{3} - 4 x^{2} - x + 1 = x^{3} - 8 - 6 x (x - 2)

\Rightarrow - 4 x^{2} - x + 1 = - 8 - 6 x^{2} + 12 x

\Rightarrow - 4 x^{2} - x + 1 + 8 + 6 x^{2} - 12 x = 0

\Rightarrow 2 x^{2} - 13 x + 9 = 0

has its highest power

2

Hence it is a quadratic equation.

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