Question

14. Check whether the following are quadratic equations :(x – 2)(x + 1) = (x – 1)(x + 3)
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Answer 1

Answer:

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

5x= -5

this is not quadratic equation

Answer 2

Hey there , the equation is not a quadratic equation.

Step-by-step explanation:

(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-x²-x-2x-2+3=0

-3x+1=0

By simplifying the given equation , we've got -3x+1=0 , where it is not a quadratic equation .

Instead it is a linear equation.

Quadratic equation - A polynomial whose degree (i.e., the highest power )is 2.

But here the polynomial has degree 1 , which is called a linear equation .

Hope it's clear !