SOLUTION: Please help me with this problem: given the distance between (x,1) and (-2,5) is 2 sqrt (7) find the value of x.

Question 981021: Please help me with this problem: given the distance between (x,1) and (-2,5) is 2 sqrt (7) find the value of x.
Found 2 solutions by Fombitz, MathLover1:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Use the distance formula.

Two possible points
(,) and (,)
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The first point is (,). The second point is (,).

Since the first point is (,), we can say (,) = (,)
So ,

Since the second point is (,), we can also say (,) = (,)
So , .
Now use the distance formula:

since given , ,,, and , substitute these values

.......square both sides

...........use quadratic formula

solutions:

or

so, the first point is (,) could be:
(,)
or
(,)

RELATED QUESTIONS
Solve by completing the square. x^2 -14x +49 = 0 I came up with the answer of 7, 7 for... (answered by checkley75)
Hello. Please help me solve this problem: I need to find the simplest radical form and... (answered by Alan3354)
Given the distance between (x,1) and (-2,5) is 2{{{ sqrt( 7) }}}, find the value(s) of x. (answered by Alan3354)
Please help me find the value of X??... (answered by College Student)
Please help me solve this equation Find the distance between the given points. (2, 3)... (answered by Cromlix,Alan3354)
Would someone please help me with this problem... Given f(x)=x^2+3 and g(x)(sqrt)2-x... (answered by stanbon)
Find the real solutions of each equation. Please help me solve this equation... (answered by Fombitz)
Please help me with this problem: Let f be the function defined by f(x)=5^{{{(sqrt(... (answered by stanbon)
Please help me to solve this problem. Given that (x + y)*2=63 and xy=65, find the value... (answered by josgarithmetic)