Find the coordinates of the intersection of the graphs of these equations? 1. #(x-1)^2+y^2=4# and #y=2x#

Question

Help is much appreciated. Thank you!

994 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-07T10:47:21

Substituting the linear into the quadratic we have:

#(x - 1)^2 + (2x)^2 = 4#

i.e. #(x - 1)^2 + 4x^2 = 4#

Expanding and collecting like terms gives:

#5x^2 - 2x - 3 = 0#

i.e. #(5x + 3)(x - 1) = 0#

Hence, #x = -3/5 or x = 1#

Using the linear equation we have:

#y = -6/5 or y = 2#

Hence, points of intersection are at #(-3/5, -6/5) and (1, 2)# enter image source here

:)>