OpenStudy (anonymous):

Help please

5 years ago
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.

5 years ago
OpenStudy (anonymous):

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

5 years ago
OpenStudy (asnaseer):

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

5 years ago
OpenStudy (anonymous):

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

5 years ago
OpenStudy (asnaseer):

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

5 years ago
OpenStudy (asnaseer):

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

5 years ago
OpenStudy (anonymous):

yes 0=45 I get it now thanks

5 years ago
OpenStudy (asnaseer):

yw :)

5 years ago
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