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33. If a + b = 4 and ab = 3; find 1/a² + 1/b² |
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Answer» Step-by-step EXPLANATION: = 1/a^2 + 1/b^2 = (1/a)^2 + (1/b)^2 = (1/a + 1/b)^2 = ((a + b/ab)^2 + 2 X 1/a x 1/b) = ((4/3)^2 + 2/3) = (16/9 + 2/3) = (22/3) THEREFORE, 1/a^2 + 1/b^2 = 22/3 |
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