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Question

Check whether the following are quadratic equations(x2)(x+1)=(x1)(x+3).


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Solution

Quadratic equation:

Quadratic equations are the polynomial equations of degree 2 in one variable of type ax2+bx+cwhere a,b,c,R anda0.

On expanding the given equation (x2)(x+1)=(x1)(x+3), we get

(x2)(x+1)=(x1)(x+3)x2+1x-2x-2=x2+3x-1x-3x2-1x-2=x2+2x-3x2-x2-1x-2x-2+3=0-3x+1=0

The above equation is not in the form of ax2+bx+c=0

Therefore, the given equation (x2)(x+1)=(x1)(x+3) is not a quadratic equation.


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