How can I solve yx2x to find any intercepts I know I have to

How can I solve y=x^2-x to find any intercepts? I know I have to replace y with 0 to find the x intercept and x with0 to find y intercept, but I\'m not sure how to work it out

Solution

given equation is y = x^2 - x

finding x intercept:

so plug y =0

y = x^2 - x

0 = x^2 - x

x^2 - x =0

take \'x\' common

x(x-1) =0

x = 0 or (x-1) =0

x= 0 or x=1

so the points are (0,0) and (1,0)

finding y intercept :

set x=0

y = x^2 - x

y = (0)^2 - 0

y = 0

so the point is (0,0)