snikergrace
06.05.2020 •
Mathematics
Find the ratio of X to Y in the following: x^2+y^2=(x+2y)^2
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Ответ:
-3 : 4
Step-by-step explanation:
x^2+y^2=(x+2y)^2
x² + y² = x² + 4xy + 4y²
3y² + 4xy = 0
y(3y + 4x) = 0
3y + 4x = 0
3y = -4x
x/y = -3/4
x : y
-3 : 4
Ответ:
-3/4
Step-by-step explanation:
x^2+y^2=(x+2y)^2
x^2+y^2=(x+2y) (x+2y)
Foil the right side
x^2 +y^2 = x^2 + 2xy + 2xy + 4y^2
Combine like terms
x^2 +y^2 = x^2 +4xy + 4y^2
Subtract x^2 +y^2 from each side
x^2 +y^2 - x^2 - y^2 = x^2 +4xy + 4y^2- x^2 - y^2
0 = 4xy + 3y^2
Subtract 3y^2 to each side
-3y^2 = 4xy
Divide each side by y^2
-3y^2 / y^2 = 4xy/ y^2
-3 = 4x/y
Divide each side by 4
-3/4 = x/y
The ratio is -3/4
Ответ:
22
Step-by-step explanation: