Решите уравнение f (x) = 0: 1) f (x) = 3x^2+8x+2; 2) f (x) = - 6x^2 + 13 - 1; 3) f (x) = (3/2) * x^2 + 4x - 1; 4) f (x) = - 0,5x^2 - 4x + 0,1.

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24 августа, 08:45

Решите уравнение f (x) = 0: 1) f (x) = 3x^2+8x+2; 2) f (x) = - 6x^2 + 13 - 1; 3) f (x) = (3/2) * x^2 + 4x - 1; 4) f (x) = - 0,5x^2 - 4x + 0,1.

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Софьюшка · Answer 1

1) f (x) = 3x^2 + 8x + 2

f' (x) = 6x + 8

f' (x) = 0 = > 6x + 8 = 0

6x = - 8

x = - 8/6

x = - 4/3 = - 1 целая 1/3

2) f' (x) = - 12x

-12x = 0

x = 0

3) f' (x) = 3x + 4

3x + 4 = 0

3x = - 4

x = - 4/3

4) f' (x) = - x - 4

- x - 4 = 0

- x = 4 | * (-1)

x = - 4