OpenStudy (anonymous):

Help please

4 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.

4 years ago
OpenStudy (anonymous):

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

4 years ago
OpenStudy (asnaseer):

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

4 years ago
OpenStudy (anonymous):

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

4 years ago
OpenStudy (asnaseer):

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

4 years ago
OpenStudy (asnaseer):

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

4 years ago
OpenStudy (anonymous):

yes 0=45 I get it now thanks

4 years ago
OpenStudy (asnaseer):

yw :)

4 years ago