Question

Coordinates of two points are A (-2,6) and B (9.3). Find the coordinates of a point C on the x axis such that AC = BC.

Answer 1

call that point (x,0) second coordinate is 0 becaues you are on the x axis

Answer 2

then you know that
\[(x+2)^2+6^2=(x-9)^2+3^2\] by the distance formula.
now you have a quadratic equation to solve

Answer 3

ty :)

Answer 4

actually i lied, you do not have a quadratic equation to solve, because when you expand the x^2 term will drop out

Answer 5

\[x^2+4 x+40 = x^2-18 x+90\] then
\[4x+40=-18x+90\] etc

Answer 6

Oh haha ok then. Thanks again though