Question

x²-4x+3>0=(-infinity,1)U(3,infinity) how ​

Answer 1

EXPLANATION.

⇒ f(x) = x² - 4x + 3 > 0.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ x² - 4x + 3.

⇒ x² - 3x - x + 3.

⇒ x(x - 3) -1(x - 3).

⇒ (x - 1)(x - 3).

We can write equation as,

⇒ (x - 1)(x - 3) > 0.

Now, we find zeroes of the equation, we get.

⇒ (x - 1) = 0.

⇒ x = 1. - - - - - (1).

⇒ (x - 3) = 0.

⇒ x = 3. - - - - - (2).

Put this point on wavy curve method, we get.

⇒ x ∈ (-∞,1) ∪ (3,∞).

Answer 2

Answer:

x= 3

hope it helps

mark brainliest