SOLUTION: If (-2,0) and (2,0) are two vertices of an equilateral TRIANGLE, find the possible location of the 3rd vertex

Question 1003745: If (-2,0) and (2,0) are two vertices of an equilateral TRIANGLE, find the possible location of the 3rd vertex

Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
Unknown point (x,y),

and

Can you work with those two equations, and find the common points, their intersection (either or both of them)?

Start with the first equation, and solve y^2 in terms of ....
find that .
Substitute this into the other equation.

and a few more steps to find
.

Go back to either equation of the system, use this found x=0, and solve for y.

You should find two possible y values. Not surprising that the two points will be on the vertical y-axis for x=0.
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