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charle [14.2K]
3 years ago
15

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

Mathematics
1 answer:
choli [55]3 years ago
7 0

Answer:

81

Step-by-step explanation:

<u>Given:</u>

  • (x+12y)/x=19

<u>Simplifying:</u>

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

<u>Finding the value of: </u>

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

<u>Substituting x/y with 2/3:</u>

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

<u>Answer is </u>81

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