Find the ratio of X to Y in the following: x^2+y^2=(x+2y)^2

-3 : 4

Step-by-step explanation:

x² + y² = (x + 2y)²

x² + y² = x² + 4xy + 4y²

4y² - y² + 4xy = 0

3y² + 4xy = 0

y(3y + 4x) = 0

3y + 4x = 0

3y = -4x

x/y = -3/4

x : y

-3 : 4

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)