Question 372608
The intersection of a line and a circle,
1.{{{ x^2+y^2=25}}}
2.{{{ y=2x}}}
From eq. 2,
{{{y^2=4x^2}}}
Substitute into eq. 1,
{{{x^2+4x^2=25}}}
{{{5x^2=25}}}
{{{x^2=5}}}
{{{x=0 +- sqrt(5)}}}
Now solve for {{{y}}}
When {{{x=sqrt(5)}}}, {{{y=2x=2*sqrt(5)}}}

When {{{x=-sqrt(5)}}}, {{{y=-2*sqrt(5)}}}
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{{{drawing(300,300,-6,6,-6,6,grid(1), circle(sqrt(5),2*sqrt(5),0.2),circle(-sqrt(5),-2*sqrt(5),0.2),graph(300,300,-6,6,-6,6,0,sqrt(25-x^2),2x),graph(300,300,-6,6,-6,6,0,-sqrt(25-x^2)))}}}