How do you find five ordered pairs of y^2 = xy2=x?

1 Answer
Jul 18, 2018

(0, 0), (1, -1), (1, 1), (4, 2), (4, -2)(0,0),(1,1),(1,1),(4,2),(4,2)

Explanation:

Given: y^2 = xy2=x

Rewrite the equation in y = y= form by square rooting both sides:

y = +- sqrt(x)y=±x

Since xx is the independent variable, we can select values that we want to use to calculate yy:

ul(" "x" "|" "y" ")
" "0" "|" "sqrt(0) = 0
" "1" "|""+sqrt(1) = 1
" "1" "|""-sqrt(1) = -1
" "4" "|""+sqrt(4) = 2
" "4" "|""-sqrt(4) = -2