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

User Ish
by
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1 Answer

5 votes

Answer:

81

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

User SHS
by
6.9k points
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