14.) If a + b = 5 and a2 + b2 = 13, find ab.
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Answer:
a + b = 5
squaring both sides
(a + b)^2 = 5^2
a^2 + b^2 + 2ab = 25
13 + 2ab = 25
2ab = 25 - 13
2ab = 12
ab = 12 / 2
ab = 6
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