1.0k views
4 votes
Solve the equation using the distributive property and properties of equality: (x + 6) = 16. What is the value of x^2?

A) 6
B) 14
C) 30

1 Answer

6 votes

Final answer:

To solve the equation (x + 6) = 16, use the distributive property to remove the parentheses and the property of equality to isolate x. Substitute the value of x in x^2 + 6x = 16 to find the value of x^2.

Step-by-step explanation:

To solve the equation (x + 6) = 16, we can begin by using the distributive property to remove the parentheses. This gives us x + 6 = 16.

Next, we can use the property of equality which states that if a = b, then a + c = b + c. By subtracting 6 from both sides of the equation, we have x = 10.

Now, to find the value of x^2, we can simply substitute the value of x in the equation x^2 + 6x = 16. This gives us 10^2 + 6(10) = 16, which simplifies to 100 + 60 = 160. Therefore, the value of x^2 is 160.

User Jake Sebright
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories