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Find NM
--------------------------------

Find NM ---------------------------------example-1
User Yonia
by
7.8k points

1 Answer

1 vote

Answer:


MN= \boxed{15}

Explanation:

refer the attachment

therefore Let,


  • a = x - 3 + 16 = x + 13

  • b = x - 3

  • c = x + 3

according to the question


\displaystyle (x - 3 ) (x + 13) =( x + 3 {)}^(2)

simplify square and Multiplication:


\displaystyle {x}^(2) + 10x - 39 = {x}^(2) + 6x + 9

cancel x² from both sides:


\displaystyle 10x - 39 = 6x + 9

cancel 6x from both sides:


\displaystyle 4x - 39 = 9

add 39 to both sides:


\displaystyle 4x = 48

divide both sides by 4:


\displaystyle \boxed{x = 12}

given that,


MN= x + 3

substitute the got value of x:


MN= 12 + 3

simplify addition hence,


MN= \boxed{15}

Find NM ---------------------------------example-1
User Wawanopoulos
by
7.1k points

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