3 years ago

If (x+12y)/x=19 find (144x^2 +24xy + y^2) /y^2

Mathematics

1 answer:

choli [55]3 years ago

7 0

Answer:

Step-by-step explanation:

Given:

(x+12y)/x=19

Simplifying:

x+ 12y = 19x
12y=18x
x/y = 2/3

Finding the value of:

(144x^2 +24xy + y^2) /y^2 =
144 (x/y)^2 + 24 (x/y) + 1 =

Substituting x/y with 2/3:

144 (2/3)^2 + 24 (2/3) + 1 =
144 (4/9) + 16 + 1 =
64 + 16 + 1 =
81

Answer is 81

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