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alinakanni2000
@alinakanni2000
July 2022
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как решить этот пример?
9 x^{4} - 37 x^{2} + 4 = 0
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belozerova1955
9х⁴-37х²+4=0
х² =========== у
9у²-37у+4=0
D = b²-4ac= 1369 - 4·9·4= 1369-144=1225; √1225 = 35
у₁= (37+35)/2·9 = 72/18 = 4
у₂ = (37 - 35)/18 = ¹/₉
х²=у
1. х²=4
х₁₂=2; -2
2. х²= ¹/₉
х₃₄= ¹/₃; -¹/₃
Ответ: 2; -2; ¹/₃; - ¹/₃
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Answers & Comments
х² =========== у
9у²-37у+4=0
D = b²-4ac= 1369 - 4·9·4= 1369-144=1225; √1225 = 35
у₁= (37+35)/2·9 = 72/18 = 4
у₂ = (37 - 35)/18 = ¹/₉
х²=у
1. х²=4
х₁₂=2; -2
2. х²= ¹/₉
х₃₄= ¹/₃; -¹/₃
Ответ: 2; -2; ¹/₃; - ¹/₃