SOLUTION: I have a homework question that states: Find the possible values of x if the points (x,5) & (-7,-6) are a distance d=146 sqrt apart. The possible values listed for x are: (-13, -

Question 83952: I have a homework question that states: Find the possible values of x if the points (x,5) & (-7,-6) are a distance d=146 sqrt apart. The possible values listed for x are: (-13, -4), (-12, -2), (-12, 2) and (-13, 4). I have tried working out all numbers using the formula (x2-x1)^2+(y2-y1)^2 sqrt and nothing is coming out to 146 sqrt. What am I doing wrong?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given formula

Now plug in the given points (x,5) and (-7,-6) and the distance

Plug in the given info

Subtract the negatives

Add

Square 11

Square both sides

Subtract 121 from both sides

Combine like terms

Take the square root of both sides

Subtract 7 from both sides

Combine like terms

So the value of x is -2

I'm not sure why the answers are listed in pairs, but I do see a -2 as one of the possible answers.
RELATED QUESTIONS
I have a question that I cannot work out. It is: Find the possible values of y if the... (answered by ankor@dixie-net.com)

I have a homework question that states: graph the rational function. Find any vertical... (answered by scianci)

I have a homework question that states: given is the graph of a function d(x). Find the (answered by stanbon)

I have a question that states: find f(5) for the function... (answered by tutorcecilia)

find the possible values of a if the points with the given coordinates are the indicated... (answered by Nate)

I have a question that states: find the inverse of the function... (answered by tutor_paul)

I have a question that states: use descartes' rule of signs to determine the possible... (answered by stanbon)

I need to find the possible values of a, if the distance between the points is 5, and the (answered by College Student)

I have a question that states: use the Rational Zero Theorem to find all possible... (answered by scianci)