Check `(x+1)^2=2(x -3)` is quadratic equation

 

Quadratic equation: - If p(x) is a quadratic polynomial, then p(x)=0 is called a quadratic equation. The general form of a quadratic equation is `ax^2\ +\ bx+c=0`, where a,b,c are real numbers and `a\ne0`. It is also known as the standard form of a quadratic equation.

Solution :

The given equation is `\(x+1)^2=2(x -3)`

 `x^2+2x+1=2x-6`

`x^2+2x+1-2x+6=0` 

`x^2+7=0` 

`\1^2+0x+7=0` 

It is of the form `ax^2+bx+c=0`

Where `a\ne0`

Hence, the given equation is quadratic.