thomasbornmann994 thomasbornmann994

09-01-2020
Mathematics

contestada

. Find two consecutive odd integers whose product is 99. (Note: There are two different pairs of consecutive odd
integers and only an algebraic solution will be accepted.)

Respuesta :

Mayalangford Mayalangford

09-01-2020

Answer:

9 and 11

Step-by-step explanation: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.

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