Grade 10 Math
posted by Anonymous .
how many integer values are there for K for which 4X squared plus KXY minus 9Y squared is factorable

4x^2 + kxy  9y^2
k = (4x^2 + 9y^2)/xy
let x = 3m and y = 2m
k = (36m^2 + 36n^2)/6mn
k = 6m/n + 6n/m
So, we see that n must divide 6m and m must divide 6n
If m=1, n divides 6: 1,2,3,6
If m=2, n divides 12: 1,2,3,4,6,12
and so on
Now, how many of those values of m and m determine unique values for k, I don't know. Have fun! 
.;.;
Respond to this Question
Similar Questions

math 10
how do i work out the answer to: "how many integer values are there for k for which 4x^2 + kxy  9y^2 is factorable? 
math
what is z cube 3 plus z squared minus 7z7 divide z squared minus 3z minus 4 
math 176
please detail all the steps for x squared minus 6xy plus 9y squared minus 4z squared 
please help in math homework
x squared minus 6xy plus 9y squared minus 4z squared 
math
Simplify completely quantity 6 x squared minus 54 plus 84 over quantity 8 x squared minus 40 x plus 48 divided by quantity x squared plus x minus 56 over quantity 2 x squared plus 12 x minus 32 
Quick calc question
Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the xaxis? 
Quick calc question
Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the xaxis? 
Calculus
Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the xaxis? 
Quick calc question
Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the xaxis? 
Math
How can expression 5 plus 4 squared plus 6 minus 2 squared minus 1 be grouped to equal 19?