If a² + b^2 =25 and ab = 12, find the value of:
(a) a+b
(b) a-b
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Step-by-step explanation:
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Answered by
7
Step-by-step explanation:
a² + b² = 25 and ab = 12
(a)
(a + b)² = a² + b² + 2ab
=> (a + b)² = 25 + 2(12)
=> (a + b)² = 25 + 24
=> (a + b)² = 49
=> (a + b) = 7
(b)
(a - b)^2 = a² + b² - 2ab
=> (a - b)² = 25 - 2(12)
=> (a - b)² = 25 - 24
=> (a - b)² = 1
=> a - b = 1
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