Which of the following is not a quadratic equ | vedclass

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(D) quadratic equation is of the form $ax^{2}+bx+c=0$,where $a 
eq 0$.$(A)$ $2(x-1)^{2}=4 x^{2}-2 x+1 \Rightarrow 2(x^{2}-2x+1)=4x^{2}-2x+1 \Rightarr

Vedclass · Accepted Answer

$(x^{2}+2 x)^{2}=x^{4}+3+4 x^{2}$

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(D) quadratic equation is of the form $ax^{2}+bx+c=0$,where $a 
eq 0$.$(A)$ $2(x-1)^{2}=4 x^{2}-2 x+1 \Rightarrow 2(x^{2}-2x+1)=4x^{2}-2x+1 \Rightarrow 2x^{2}-4x+2=4x^{2}-2x+1 \Rightarrow 2x^{2}+2x-1=0$. This is a quadratic equation.$(B)$ $2 x-x^{2}=x^{2}+5 \Rightarrow 2x^{2}-2x+5=0$. This is a quadratic equation.$(C)$ $(-\sqrt{2} x+\sqrt{3})^{2}=3 x^{2}-5 x \Rightarrow 2x^{2}-2\sqrt{6}x+3=3x^{2}-5x \Rightarrow x^{2}-(5-2\sqrt{6})x-3=0$. This is a quadratic equation.$(D)$ $(x^{2}+2 x)^{2}=x^{4}+3+4 x^{2} \Rightarrow x^{4}+4x^{3}+4x^{2}=x^{4}+3+4x^{2} \Rightarrow 4x^{3}-3=0$. Since the highest power of $x$ is $3$,this is a cubic equation,not a quadratic equation.

Which of the following is not a quadratic equation?

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