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If a + b = 9 and ab = 14, with a > b, then a − b equals:

Competition practiceAlgebra

A5
B7
C25
D3

Step-by-Step Solution

(a - b)^{2} = (a + b)^{2} - 4 ab = 81 - 56 = 25

, so

a - b = 5

for

a > b

. (The two numbers are 7 and 2.)

Answer: A) 5

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