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

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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

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