Question

(x+1) (x+3) = (x-1) (x-4) check whether the equation is quadric or not​

Answer 1

(x + 1)(x + 3) = (x - 1)(x - 4)

We know that,

(x+a)(x+b)= x²+(a+b)x+ab

And

(x-a)(x-b) = x²-(a+b)x+ab

Using the identities,

→ x²+(1+3)x+1×3 = x² -(1+4)+1×4

→ x²+4x+3 = x²-5x+4

Since, x² is present on both the sides of the equation, therefore it will get cancelled.

→ 4x + 3 = -5x + 4

Clearly, It becomes a linear equation (or an equation with degree 1)

Hence, it's not a quadratic equation.