Question

 (x – 2)(x + 1) = (x – 1)(x + 3) Show is this a quadratic equation or not ​

Answer 1

Answer:

Given equation:

(x – 2)(x + 1) = (x – 1)(x + 3)

On solving this equation,

$x^{2}$ + x - 2x -2 = $x^{2}$ + 3x - x -3

x - 2x - 2 = 3x -x -3 [$x^{2}$ on both sides got cancelled]

-x -2 = 3x -x - 3

-2 = 3x - 3 [-x on both sides got cancelled]

1 = 3x

So, the equation is 3x - 1 = 0

which is not a quadratic equation

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Answer 2

Step-by-step explanation:

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

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

= x²- 2x + x - 2 = x² - x + 3x - 3

= x² - x - 2 = x² + 2x - 3

Till here it is a quadratic equation.

But, if we solve it fully

= - x - 2 = 2x - 3

= - x - 2x = -3 + 2

= - 3x = - 1

= 3x = 1

= 3x - 1

It is not a quadratic equation

So, I think it is not a quadratic equation

I am not sure about my answer.