Question

(x−2)(x+3)=0,Examine whether the given equation are quadratic equations or not.

Answer 1

(x-2)(x+3)=x^2+3x-2x+6=0
=x^2+x+6=0
as it's degree is 2,
therefore (x-2)(x-3) is a quadratic equation.

Answer 2

hey user!!!

given :- ( x - 2 ) ( x + 3 ) = 0

>> x ( x + 3 ) - 2 ( x + 3 ) = 0
>> x² + 3x - 2x + 3 = 0
>> x² + x + 3 = 0

we can clearly see here that x² + x + 3 is a quadratic polynomial. hence, the given equation is quadratic equation.

cheers!!!