Which of the following is a quadratic equatio | vedclass

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(C) For an equation to be a quadratic equation,it must be in the form $ax^{2}+bx+c=0$,where $a 
eq 0$.$(A)$ $x^{2}+2x+1 = (4-x)^{2}+3$$\Rightarrow x^

Vedclass · Accepted Answer

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

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(C) For an equation to be a quadratic equation,it must be in the form $ax^{2}+bx+c=0$,where $a 
eq 0$.$(A)$ $x^{2}+2x+1 = (4-x)^{2}+3$$\Rightarrow x^{2}+2x+1 = 16-8x+x^{2}+3$$\Rightarrow 10x-18=0$. This is a linear equation.$(B)$ $-2x^{2} = (5-x)(2x-\frac{2}{5})$$\Rightarrow -2x^{2} = 10x-2-2x^{2}+\frac{2x}{5}$$\Rightarrow 0 = \frac{52x}{5}-2$. This is a linear equation.$(C)$ $x^{3}-x^{2} = (x-1)^{3}$$\Rightarrow x^{3}-x^{2} = x^{3}-3x^{2}+3x-1$$\Rightarrow 2x^{2}-3x+1=0$. This is a quadratic equation as it is in the form $ax^{2}+bx+c=0$ with $a=2 
eq 0$.$(D)$ $(k+1)x^{2}+\frac{3}{2}x=7$,where $k=-1$$\Rightarrow (-1+1)x^{2}+\frac{3}{2}x=7$$\Rightarrow \frac{3}{2}x-7=0$. This is a linear equation.

Which of the following is a quadratic equation?

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