show tht the curve with parametric equcations x=t^2 ,y=t^3 −9t intersect at the point (9,0).


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Question Number 23104 by lizan 123 last updated on 26/Oct/17

$s h o w t h t t h e c u r v e w i t h p a r a m e t r i c e q u c a t i o n s$ $x = t^{2}, y = t^{3} - 9 t i n t e r s e c t a t t h e p o i n t (9, 0) .$
	Answered by ajfour last updated on 26/Oct/17

	$y = t (t^{2} - 9)$ $\Rightarrow y^{2} = x {(x - 9)}^{2}$ $d o u b l e r o o t a t x = 9, s o$ $c u r v e i n t e r s e c t s i t s e l f a t x = 9 .$
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