The discussion revolves around determining the value of the constant k in the equation kx² - xy + y² = 5, given that the point (1, -1) lies on its graph.
Some participants suggest that k equals 3 based on the substitution, while others confirm that k must remain constant for any point on the graph. The conversation reflects a mix of agreement and exploration of the reasoning behind the calculations.
There is a repeated emphasis on the need for clarity in the substitution process and the implications of k being a constant in the equation.
I don't know what you did to not end up with an equation, but when you substitute (1, -1) into the equation above, you get another equation: k + 1 + 1 = 5, or k = 3.screamtrumpet said:Homework Statement
if (1, -1) lies on the graph of the equation kx^2-xy+y^2 =5 what is the value of k?
Homework Equations
The Attempt at a Solution
plugging in 1 and -1 for the respective x y values yielded 3.How would you go abut solving this?
screamtrumpet said:so would k=3?