Check whether the following are quadratic equations:
$x^2 - 2x = (- 2) (3-x)$

Given:

Given equation is $x^2 - 2x = (- 2) (3-x)$

To do:

We have to check whether the given equation is quadratic.

Solution:

The standard form of a quadratic equation is $ax^2+bx+c=0$.

 $x^2 - 2x = (- 2) (3-x)$

$x^2-2x=-6+2x$

$x^2-2x-2x+6=0$

$x^2+-4x+6=0$

$x^2-4x+6=0$ is of the form $ax^2+bx+c=0$

Therefore, $x^2 - 2x = (- 2) (3-x)$  is a quadratic equation. 

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Updated on: 10-Oct-2022

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