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Quadratic Equation

Is x3-4x2-x...

Question

$I s$ $x^{3} - 4 x^{2} - x + 1 = (x - 2)^{3}$ a quadratic equation ?

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Solution

$x^{3} - 4 x^{2} - x + 1 = (x - 2)^{3}$
$x^{3} - 4 x^{2} - x + 1 = x^{3} - 8 - 6 x^{2} + 12 x$
$2 x^{2} - 13 x + 9 = 0$ ________ (1)
Hence equation (1) represents a quadratic equation.

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Similar questions

Q. Check whether the following is a quadratic equation:

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

Q. Check whether the following is quadratic equation.

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

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Q. Question 1(viii)
Check whether the following are quadratic equations:
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x^{3} - 4 x^{2} - x + 1 = (x - 2)^{3}

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