Coordinates of the points of intersection

[Ray2021]

Find the coordinates of the point of intersection of y=1/x and y=2x

Never mind just solved it

 

[nycmathguy]

Find the coordinates of the point of intersection of y=1/x and y=2x

Never mind just solved it

Let y = y.

This means 1/x = 2x.

Solve for x.

Then plug x-values found into y = 1/x and y = 2x to find your y-values.

 

[MathLover1]

x = -1/sqrt(2), y = -sqrt(2)
or
x = 1/sqrt(2), y = sqrt(2)

 

[nycmathguy]

x = -1/sqrt(2), y = -sqrt(2)
or
x = 1/sqrt(2), y = sqrt(2)

Is my reply here correct?

 

[MathLover1]

yes

 

[nycmathguy]

yes

By the way, my reply was simply a guess.