x^2-4x+4>0 — step-by-step solution

Let's solve in

ℝ

x^{2} - 4 x + 4 > 0

We recognize a special product in

x^{2} - 4 x + 4

{(x - 2)}^{2}

In ℝ, an even exponent always yields a value ≥ 0 and it is 0 only if the base is 0

Let's solve in

ℝ

x - 2 = 0

ⓘ We add

2

to both sides

Solution obtained:

x = 2

▶Solution obtained:

x \neq 2