Solve by completing the square x^2-4x+9=0

Step-by-step explanation:

Add 9 to both sides of the equation.

if you want to create a trinomial square on the left, find value that is equal to the square of half of b

Add the term to each side of the equation

SIMPLIFY >:(

How to Simplify it:

-Raise the -2 to the power of 2

and ten simplify 9 + (-2)^2 :

--Raise -2 to the power of 2 and then add 9 and 4

Factor the perfect trinomial square into (x - 2)^2

Solve the equation for x

How to do it:

-Take the square root of each side of the equation to set up the solution for x

--Then remove the perfect root factor, x - 2 under the radical to solve for x

---Remove parenthesis

add 2 to both sides of the equation.

the final answer could be shown in different ways,but the exact form is x=±√13+2

In decimal form its x=5.60555127…,−1.60555127…

--this took me like 7 minutes to do im no geek tho lol

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.