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Answer» Let the 2 consecutive odd integers be n and n+2.
n(n + 2) = 99
Solve for n.
n2 + 2n - 99 = 0
(n + 11)(n - 9) = 0 ⇒
TWO solutions:
n = -11 n + 2 = -9
and
n = 9 n + 2 = 11
Test the answers. ORLet the two consecutive odd integers be x and x +2 x +2 Given :- x(x+2) = 99 x² + 2x = 99 x² + 2x - 99 = 0 splitting the middle TERM :- x² + 11x - 9x - 99 = 0 x( x + 11) - 9(x + 11) =0 (x - 9) ( x + 11) = 0 x = 9 , x = - 11 x = 9 is the value taken here :- x = 9 x + 2 = 9 + 2 = 11 The no:s would be 9 and 11 Hope this HELPS.... ✌✌☮☮✌✌ |
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