SOLUTION: Find all values of x so that the distant beetween the points (x,-1) and (2,5) is 2*square root 10

Question 474008: Find all values of x so that the distant beetween the points (x,-1) and (2,5) is 2*square root 10
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Find all values of x so that the distant be+tween the points (x,-1) and (2,5) is 2*square root 10
:
The distance formula: d =
x1=x, y1=-1
x2=2, y2=5
:
=
:
=
:
=
:
=
Square both sides
x^2 - 4x + 40 = 4(10)
x^2 - 4x + 40 = 40
x^2 - 4x + 40 - 40 = 0
x^2 - 4x = 0
Factor out x
x(x-4) = 0
Two solutions
x = 0
and
x = 4
:
See if that works for x=4
=
=
=
=
which is
=
factor out the square root of 4
= ; ); OK
:
What about x= 0
=
= ; this will work too
:
The solutions, x = 4, x = 0
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