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Quadratic Equation

Question 1vii...

Question

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

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Solution

(viii) $x^{3} - 4 x^{2} - x + 1 = (x - 2)^{3} \Rightarrow x^{3} - 4 x^{2} - x + 1 = x^{3} - 8 - 6 x^{2} + 12 x \Rightarrow 2 x^{2} - 13 x + 9 = 0$
It is of the form $a x^{2} + b x + c = 0$
Hence, the given equation is quadratic equation.

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Similar questions

Q. Check whether the following is quadratic equation.

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

Q. Check whether the following is a quadratic equation:

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

Q. Question 1(vii)

Check whether the following is a quadratic equation:
(vii)

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

I s

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

a quadratic equation ?

Q. Question 1(iii)
Check whether the following are quadratic equations:

(i i i) (x - 2) (x + 1) = (x - 1) (x + 3)

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Quadratic Equation

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