Which of the following equations can be written in the form of ax² + bx + c = 0, where a, b, c are real numbers and a ≠ 0, let us write it.

i.

ii.

iii.

iv. (x - 2)² = x² – 4x + 4

(i) The given equation is

It can be written as

Therefore, this equation is of the form where a,b,c are real numbers.

Here, a = 1 which is non-zero, b = -7 and c = 1

(ii) The given equation is

It can be written as

Therefore, this equation is not of the form where a,b,c are real numbers.

Here, the highest degree of x in the equation is 3.

So, it is not a quadratic equation

(iii) The given equation is

This equation is not of the form where a,b,c are real numbers.

So, it is not a quadratic equation.

(iv) The given equation is

It is not a quadratic equation as both the sides are same and not forming an equation.