Question

Check whether the given equation is a quadratic equation $x^2-2x=(-2)(3-x)$.

Answer 1

Checking whether the given equation is a quadratic or not:

We have the given equation : $x^2-2x=(-2)(3-x)$

We know that the general form of the quadratic equation is $a{x}^2+bx+c=0$

Now we will try to convert the given equation into the general form of the quadratic equation

:$$\begin{gathered} \Rightarrow x^2-2x=(-2)(3-x) \\ \Rightarrow x^2–2x=-6+2x \\ \Rightarrow x^2-2x-2x+6=0 \\ \Rightarrow x^2-4x+6=0 \end{gathered}$$

Now by comparing the above equation with the general form of the quadratic equation we can see that the given equation is a quadratic equation.

Hence, the given equation is a quadratic equation.