Question

(x-2)(x+1)=(x_1)(x+3) check whether it is quadratic equations​

Answer 1

Answer:

no it is not a quadratic equation

Step-by-step explanation:

x²+x-2x+2=x²+3-x+3x

-x+2=3+2x

3x=-1

Answer 2

Given,

An equation (x-2)(x+1)=(x-1)(x+3)

To find,

The equation is a quadratic equation or not.

Solution,

A quadratic equation is a polynomial equation whose highest degree is two. The equation is given by ax² + bx + c = 0.

⇒ (x-2)(x+1)=(x-1)(x+3)

⇒ x(x+1)-2(x+1)=x(x+3)-1(x+3)

⇒ x²+x-2x-2=x²+3x-x-3

⇒ x²-x-2=x²+2x-3

x² is both on the left hand side of the equation and right hand side of the equation and it would get cancelled.

⇒ -x-2=2x-3

⇒ -x-2x-2+3=0

⇒ -3x+1=0

• This is the equation we got after simplifying (x-2)(x+1)=(x-1)(x+3) .

• -3x+1=0 is not a quadratic equation as its highest power is only 1.

Hence,  (x-2)(x+1)=(x-1)(x+3) is not a quadratic equation.