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4. If a - b = 5 and ab = 6, find a + b.
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b = -6 b = 1.
Step-by-step explanation:
ab = 6
a = 6/b
a - b = 5
6/b - b = 5
6-b^2 / b = 5
6 - b^2 =5b
b^2 + 5b - 6 = 0
b^2 +6b - b - 6 = 0
b(b + 6) - 1(b + 6) = 0
(b + 6) (b-1) = 0
b + 6=0 OR b - 1=0
b = -6 b = 1.
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