Question

If A , 2) is equidistant from B(-2, 4) and C(x, 4).
then find the value of x.


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Answer 1

Answer:

x=2

Step-by-step explanation:

distance between A and B

by distance formula

$\sqrt{(x - 2) ^{2} + (0 - 4) { }^{2} } = \sqrt{(x + 2) { }^{2} + (4 - 4) {}^{2} }$

both sides squaring,

(x-2)^2+(4)^2=(x+2)^2+(0)^2

x^2+4-4x +16=x^2+4+4x+0

x^2-x^2+4-4+16=4x+4x

16=8x

x=16/8

x=2