174k views
5 votes
What is the answer to this eqaution (x - 4)2 = 36

2 Answers

4 votes

Answer: The answer is x = 22.

Explanation:

To solve this equation, we first have to simplify the left side of the equation.

To do this, we should distribute the 2 into the parentheses (this means multiplying each of the terms inside the parentheses by 2). If we do this, we get:

2x - 8 = 36

Next, we should add 8 to both sides in order to get the variable term isolated on the left side. If we do this, we get:

2x = 44

Then, we should divide both sides of the equation by 2 in order to get rid of the coefficient on the variable. This gives us:

x = 44/2 = 22

Therefore, your answer is that x = 22.

Hope this helps!

User Arta
by
5.1k points
5 votes

Answer:

x = 10 x = -2

Explanation:

(x - 4)^2 = 36

Take the square root of each side

sqrt((x - 4)^2) =±sqrt( 36)

x-4 = ±6

Separate into two equations

x-4 =6 x-4=-6

Add 4 to each side

x-4 +4 =6+4 x-4+4 = -6+4

x = 10 x = -2

User Ricardo Cabral
by
5.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.