Question

Help please

Answer 1

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.

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

yes 0=45 I get it now thanks

Answer 8

yw :)