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July 2022
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7^(x-2)=3^(2-x) решить уравнение
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limyrs
Если 7² (х-2) = 3² (2-х)
49х-98=18-9х
49х-9х=18+98
40х=116
х=2,9
Ответ:2.9
Если 7(х-2)² = 3(2-х)²
7(х²-4х+4)=3(4-4х+х²)
7х²-28х+28=12-12х+3х²
7х²-3х²-28х+12х=12-28
4х²-16х=-16
4х²-16х+16=0
Д=в²-4ас = 256-256=0 √Д=0
х1= 16+- 0 (делить на 8) = 2
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Answers & Comments
49х-98=18-9х
49х-9х=18+98
40х=116
х=2,9
Ответ:2.9
Если 7(х-2)² = 3(2-х)²
7(х²-4х+4)=3(4-4х+х²)
7х²-28х+28=12-12х+3х²
7х²-3х²-28х+12х=12-28
4х²-16х=-16
4х²-16х+16=0
Д=в²-4ас = 256-256=0 √Д=0
х1= 16+- 0 (делить на 8) = 2