I need to find out if $y=x^2-\sqrt{200}x+50$ and $y=a(x-\sqrt8)^2$ how for what values of $a$ they will have only one point of intersection within the domain $[\sqrt8,\infty)$?
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By intercepts, do you mean intersections? – marty cohen Mar 25 '19 at 05:11
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Yes, I mean intersections. – Bobbo Mar 25 '19 at 05:41
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Set them equal to each other and solve the resulting quadratic equation. There’s really nothing more to it. – amd Mar 25 '19 at 14:38