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Vikazenenets
@Vikazenenets
September 2021
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найдите два числа разность которых равно 11 а произведение 312
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Verified answer
A-b = 11
a*b = 312
-------------
a = 11 + b
(11+b) * b = 312
b² + 11b - 312 = 0
D=11² + 4*312 = 37²
b1 = (-11 - 37) / 2 = -24 и тогда a1 = 11-24 = -13
b2 = (-11 + 37) / 2 = 13 и тогда a2 = 11+13 = 24
ПРОВЕРКА:
-13 - (-24) = 24-13 = 11, (-13)*(-24) = 312
Ответ: (-13; -24); (24; 13)
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Answers & Comments
Verified answer
A-b = 11a*b = 312
-------------
a = 11 + b
(11+b) * b = 312
b² + 11b - 312 = 0
D=11² + 4*312 = 37²
b1 = (-11 - 37) / 2 = -24 и тогда a1 = 11-24 = -13
b2 = (-11 + 37) / 2 = 13 и тогда a2 = 11+13 = 24
ПРОВЕРКА:
-13 - (-24) = 24-13 = 11, (-13)*(-24) = 312
Ответ: (-13; -24); (24; 13)