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nun123
@nun123
May 2021
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Срочно!!!
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Удачник66
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Б) Приводим к общему знаменателю 10
(2m^2 - m)/10 = (4m^2 + 3m - 6)/10
Умножаем всё на 10
2m^2 - m = 4m^2 + 3m - 6
2m^2 + 4m - 6 = 0
m^2 + 2m - 3 = 0
(m + 3)(m - 1) = 0
m1 = -3; m2 = 1
в) Тоже самое, общий знаменатель 8
5y^2 - 8y = 6y - 8y^2 - 1
13y^2 - 14y + 1 = 0
(y - 1)(13y - 1) = 0
y1 = 1; y2 = 1/13
г) Общий знаменатель 18
15n^2 - 8n = 18n + 64*6
15n^2 - 26n - 384 = 0
D/4 = 13^2 - 15(-384) = 169 + 5760 = 5929 = 77^2
n1 = (13 - 77)/15 = -64/15
n2 = (13 + 77)/15 = 90/15 = 6
д) Домножаем всё на 2
3x^2 - 2 - 16x = 42
3x^2 - 16x - 44 = 0
D/4 = 8^2 - 3(-44) = 64 + 132 = 196 = 14^2
x1 = (8 - 14)/3 = -6/3 = -2
x2 = (8 + 14)/3 = 22/3
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Answers & Comments
Verified answer
Б) Приводим к общему знаменателю 10(2m^2 - m)/10 = (4m^2 + 3m - 6)/10
Умножаем всё на 10
2m^2 - m = 4m^2 + 3m - 6
2m^2 + 4m - 6 = 0
m^2 + 2m - 3 = 0
(m + 3)(m - 1) = 0
m1 = -3; m2 = 1
в) Тоже самое, общий знаменатель 8
5y^2 - 8y = 6y - 8y^2 - 1
13y^2 - 14y + 1 = 0
(y - 1)(13y - 1) = 0
y1 = 1; y2 = 1/13
г) Общий знаменатель 18
15n^2 - 8n = 18n + 64*6
15n^2 - 26n - 384 = 0
D/4 = 13^2 - 15(-384) = 169 + 5760 = 5929 = 77^2
n1 = (13 - 77)/15 = -64/15
n2 = (13 + 77)/15 = 90/15 = 6
д) Домножаем всё на 2
3x^2 - 2 - 16x = 42
3x^2 - 16x - 44 = 0
D/4 = 8^2 - 3(-44) = 64 + 132 = 196 = 14^2
x1 = (8 - 14)/3 = -6/3 = -2
x2 = (8 + 14)/3 = 22/3