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若(a+b)²=8,(a-b)²=5,求a²+b²和ab的值
人气:435 ℃ 时间:2020-03-23 21:48:17
解答
(a+b)²+(a-b)² = 2(a²+b²)
所以(a²+b²) = (8+5)/2 = 13/2
(a+b)²-(a-b)² = 4ab
所以ab = (8-5)/4 = 3/4
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