63.9k views
0 votes
Solve by completing the square x^2-4x+9=0

1 Answer

3 votes

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

User Jyek
by
4.2k points