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Mathematics 7 Online
OpenStudy (anonymous):

Help please

OpenStudy (anonymous):

The equation of a curve is\[3x^2 −4xy+y^2 = 45\] Show that there are no points on the curve at which the gradient is 1.

OpenStudy (anonymous):

I found \[\frac{ dy }{ dx }=\frac{ 4y-6x }{ 2y-4x }\]

OpenStudy (asnaseer):

set the expression for the gradient equal to one and see if it leads to a contradiction

OpenStudy (anonymous):

How do you show for the contradiction when you get x=y

OpenStudy (asnaseer):

now plug y=x into your original equation - what does it lead to?

OpenStudy (asnaseer):

@Obumpa have you tried putting y=x into your original equation?

OpenStudy (anonymous):

yes 0=45 I get it now thanks

OpenStudy (asnaseer):

yw :)

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