an orchard has 960 apple trees. the number of rows exceeds the number of trees per row by 2. how many trees are there in each row?

Answer:There are 30 trees in each row.Step-by-step explanation:Given:Total Number of Apple trees =960Let Number of trees in each row be xThen as per given data number of rows= Number of trees in each row + 2Solution:Formula:Number of trees in each row [tex]\times[/tex] Number of rows = Total Number of Apple tree.Now Substituting the given values we get.[tex]x(x+2)=960[/tex][tex]x^2+2x=960\\x^2+2x-960=0\\[/tex]Now Evaluating the equation we get[tex]x^2+32x-30x-960=0\\x(x+32)-30(x+32)=0\\(x-30)(x+32)=0\\[/tex]Now finding both the values of x[tex]x-30=0\\x=30\\[/tex]Also [tex]x+32=0\\x= -32[/tex]Now we have two value of x which 30 and -32.But number of trees cannot be in in negative sign hence -32 value will be invalid[tex]\therefore[/tex] Number of trees in each row = 30And Number of rows = 30+2 =32