SOLUTION: This problem is form an Algebra 2 workbook. How does one solve for x with a given distance in the problem (3,5) and (0,x); d= the square root of 10. I have no idea where to

Question 210221: This problem is form an Algebra 2 workbook.
How does one solve for x with a given distance in the problem
(3,5) and (0,x); d= the square root of 10.
I have no idea where to start.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve for x with a given distance in the problem
(3,5) and (0,x); d= the square root of 10.
---------------------------
Formula: d = sqrt[(change in x)^2 + (change in y)^2]
--------------------
Your Problem:
sqrt(10) = sqrt[(x-5)^2 + (0-3)^2]
------
Square both sides to get:
10 = x^2 - 10x + 25 + 9
x^2 -10x + 24 = 0
Factor:
(x-6)(x-4) = 0
x= 6 or x = 4
------------------------
Cheers,
Stan H.
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