Question
Choose the correct answer for the following question.
Which one is the quadratic equation?
A.$\frac{5}{x}-3=x^2$
B. $x(x+5)=2$
C. $n-1=2 n$
D.$\frac{1}{x^2}(x+2)=x$

Answer

In option $A \frac{5}{x}-3=x^2 \Rightarrow 5-3 x=x^3$. hence, it is not a quadratic equation.
In Option $B x ( x +5)=2 \Rightarrow x ^2+5 x -2=0$, it is a quadratic equation.
In Option $C n -1=2 n \Rightarrow 2 n - n =-1 \Rightarrow n =-1$, it is not a quadratic equation.
In Option $D \frac{1}{ x ^2}( x +2)= x \Rightarrow x +2= x ^3$, hence, it is not a quadratic equation.

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