Question

(x-1) (x+2)=(x-3) (x+1) is a quadratic equation ​

Answer 1

Given equation (x−2)(x+1)=(x−1)(x+3)  

To find whether the given equation is a quadratic equation or not

Sol:

(x−2)(x+1)=(x−1)(x+3)

⟹x  

2

+x−2x−2=x  

2

+3x−x−3

⟹x  

2

−x  

2

+x−2x−3x+x−2+3=0

⟹−3x+1=0  

This is not a quadratic equation as an equation of degree two is called a quadratic equation.

And, a polynomial when equated to zero or some value becomes an equation.

Answer 2

Answer:

x²+2x-x-2=x²+x-3x-3

x²+x-2=x²-2x-3

x²+x-2-x²+2+3

x+3 is the correct answer