MCQ
Which of the following is a quadratic equation ?
  • A
    $(\text{k}+1)\text{ x}^{2}+\frac{3}{2}\text{ x}-5 = 0, \text{k} = -1$
  • $\text{x}^{3}-\text{x}^{2}=({\text{x}}-1)^{3}$
  • C
    $\text{x}^{2}+\text{2x}+1=(4-\text{x})^{2}+{3}$
  • D
    $-\text{2x}^{2} = (5-{\text{x}})(\text{2x}-\frac{2}{5})$

Answer

Correct option: B.
$\text{x}^{3}-\text{x}^{2}=({\text{x}}-1)^{3}$
In equation$ x^3-x^2=(x-1)^3 $
$ \Rightarrow x^3-x^2=x^3-1-3 x^2+3 x $
$ \Rightarrow-x^2+3 x^2-3 x+1=0 $
$ \Rightarrow 2 x^2-3 x+1=0 $
It is a quadratic equation as its degree is $2$.

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