How do i find the co ordiantes of the points of intersection of the circle x^2+y^2=25 and the line y=3x, and leave this in surd form. Thanks
$\displaystyle x^2 + y^2 = 25$
$\displaystyle y = 3x$
$\displaystyle x^2 + (3x)^2 = 25$
$\displaystyle x^2 + 9x^2 = 25$
$\displaystyle 10x^2 = 25$
$\displaystyle x^2 = 2,5$
$\displaystyle x = \pm \sqrt{2,5}$
Set those values into the original equation to find the corresponding y-values.