решите уравнения
а) 9y-y^2=0
б) -2x^2-4x=0
в) x^3-x^2=0
г) x^2-4=0
д) 4x^2-25=0
е) 1-z^2=0
з) 3z^2-75=0
a) y(9-y) = 0
y = 0
и 9-y = 0
-y = -9
y = 9
Ответ: 0 и 9
б) -2x^2 - 4x = 0
-2x(x + 2) = 0
-2x = 0 x+2 = 0
x = 0 x = -2
Ответ: 0 и -2
в)x^3 - x^2 = 0
x^2(x - 1) = 0
x = 0 x = 1
Ответ: 0 и 1
г)x^2 - 4 = 0
(x-2)(x+2) = 0
x = 2 и x = -2
Ответ: 2 и -2
д)4x^2 - 25 = 0
(2x-5)(2x+5) = 0
2x-5 = 0 и 2x+5 = 0
2x = 5 2x = -5
x = 2,5 x = -2,5
Ответ: 2,5 и -2,5
е)1-z^2 = 0
(1-z)(1+z) = 0
1-z = 0 и 1+z = 0
z = 1 и z = -1
Ответ: -1 и 1
з)3z^2 - 75 = 0
3(z^2 - 25) = 0
3(z-5)(z+5) = 0
3<>0 и z = 5 и z = -5
Ответ: 5 и -5
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Answers & Comments
a) y(9-y) = 0
y = 0
и 9-y = 0
-y = -9
y = 9
Ответ: 0 и 9
б) -2x^2 - 4x = 0
-2x(x + 2) = 0
-2x = 0 x+2 = 0
x = 0 x = -2
Ответ: 0 и -2
в)x^3 - x^2 = 0
x^2(x - 1) = 0
x = 0 x = 1
Ответ: 0 и 1
г)x^2 - 4 = 0
(x-2)(x+2) = 0
x = 2 и x = -2
Ответ: 2 и -2
д)4x^2 - 25 = 0
(2x-5)(2x+5) = 0
2x-5 = 0 и 2x+5 = 0
2x = 5 2x = -5
x = 2,5 x = -2,5
Ответ: 2,5 и -2,5
е)1-z^2 = 0
(1-z)(1+z) = 0
1-z = 0 и 1+z = 0
z = 1 и z = -1
Ответ: -1 и 1
з)3z^2 - 75 = 0
3(z^2 - 25) = 0
3(z-5)(z+5) = 0
3<>0 и z = 5 и z = -5
Ответ: 5 и -5