SOLUTION: If(x,4) is equidistant to (5,-2) and (3,4) find the x

Question 1176758: If(x,4) is equidistant to (5,-2) and (3,4) find the x
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

If(,) is equidistant to (,) and (,)
means distance between (,) and (,) is same as distance between (,) and (,)

to find the , use distance formula

distance between (,) and (,) is:

......eq.1
distance between (,) and (,) is:

......eq.2
from eq.1 and eq.2 we have
....square both sides
.....expend

so, the point is (,)

Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!

If(x,4) is equidistant to (5,-2) and (3,4) find the x

Distance (d) from (x, 4) to (5, - 2): Distance (d) from (x, 4) to (3, 4):
Therefore,
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