Answer:
The Answer is 4.5 or 4 1/2
Step-by-step explanation:
So I'm going to assume that this question is asking for <u>non extraneous solutions</u>, or solutions that are found in the equation <em>and</em> are valid solutions when plugged back into the equation. So firstly, subtract 2 on both sides of the equation:

Next, square both sides:

Next, subtract x and add 2 to both sides of the equation:

Now we are going to be factoring by grouping to find the solution(s). Firstly, what two terms have a product of 6x^2 and a sum of -5x? That would be -3x and -2x. Replace -5x with -2x - 3x:

Next, factor x^2 - 2x and -3x + 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

Now you can rewrite the equation as 
Now, apply the Zero Product Property and solve for x as such:

Now, it may appear that the answer is C, however we need to plug the numbers back into the original equation to see if they are true as such:

Since both solutions hold true when x = 2 and x = 3, <u>your answer is C. x = 2 or x = 3.</u>
If you use a proportion, you'll get:

Then, you use cross products:

Then, you algebraically solve x:

The answer is 5/3 inches , or 1 5/13 inches, or 1.6 repeating.
9) They traveled 31.9 hours over the 3-day trip.
10.9 + 8.6 + 12.4 = 31.9
10) She does not have enough money. She has $12, but everything she wants to purchase would cost $12.39.
Large drink = 1.79
Turkey sandwich = 4.85
1.79 + 4.85 = 6.64
6.64 + 5.75 = 12.39
I hope this helps you
regular hexagon =6 equilateral triangle
Area=6.(10.20/2)
Area=600