Выбери многочлены, которые при разложении на множители содержат одинаковый множитель: 3x−6;3x−30m+1;−10−30m;21mn+7n;−5x+7n;x2−2x.

Выбери правильные ответы:

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−10−30m;21mn+7n

3x−6;x2−2x

−10−30m;3x−30m+1

3x−6;3x−30m+1

21mn+7n;−5x+7n

3x−6;x2−2x;−5x+7n

Выбери многочлены, которые при разложении на множители содержат одинаковый множитель: 3x−6;3x−30m+1;

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Ответ:

Hunterxxxx

16.05.2023 06:34

$sin^{2}(x)*(tg(x)+1)=3sin(x)*(cos(x)-sin(x))+3\\sin^{2}(x)*(\frac{sin(x)}{cos(x)} +1)=3sin(x)cos(x)-3sin^{2}(x)+3\\sin^{2}(x)*\frac{sin(x)+cos(x)}{cos(x)}=\frac{3}{2}*sin(2x)-3sin^{2}(x)+3\\\frac{sin^{2}(x)*(sin(x)+cos(x))}{cos(x)}=\frac{3sin(2x)}{2}-3sin^{2}(x)+3\\\frac{sin^{3}(x)+sin^{2}(x)cos(x)}{cos(x)}=\frac{3sin(2x)}{2}-3sin^{2}(x)+3\\\frac{sin^{3}(x)+sin^{2}(x)cos(x)}{cos(x)}-\frac{3sin(2x)}{2}+3sin^{2}(x)=3\\\frac{2(sin^{3}(x)+sin^{2}(x)cos(x))-3cos(x)sin(2x)+6cos(x)sin^{2}(x)}{2cos(x)}=3\\$

$\frac{2sin^{3}(x)+2sin^{2}(x)cos(x)-3cos(x)sin(2x)+6cos(x)sin^{2}(x)}{2cos(x)}=3\\\frac{2sin^{3}(x)+8sin^{2}(x)cos(x)-3cos(x)sin(2x)}{2cos(x)}=3|*2cos(x)\\2sin^{3}(x)+8sin^{2}(x)cos(x)-3cos(x)sin(2x)=6cos(x)\\2sin^{3}(x)+8sin^{2}(x)cos(x)-3cos(x)sin(2x)-6cos(x)=0\\2sin^{3}(x)+8sin^{2}(x)cos(x)-3cos(x)*2sin(x)cos(x)-6cos(x)=0\\2sin^{3}(x)+8sin^{2}(x)cos(x)-6cos^{2}(x)sin(x)-6cos(x)=0\\2sin^{3}(x)+8sin^{2}(x)cos(x)-6(1-sin^{2}(x))sin(x)-6cos(x)=0\\$

$2sin^{3}(x)+8sin^{2}(x)cos(x)-6sin(x)+6sin^{3}(x)-6cos(x)=0\\8sin^{3}(x)+8sin^{2}(x)cos(x)-6sin(x)+6cos(x)=0\\8sin^{2}(x)*(sin(x)+cos(x))-6(sin(x)+cos(x))=0\\2(sin(x)+cos(x))*(4sin^{2}(x)-3)=0\\(sin(x)+cos(x))*(4sin^{2}(x)-3)=0$

sin(x)+cos(x) = 0 или 4sin²(x)-3 = 0

sin(x) = -cos(x) |:cos(x) 4sin²(x) = 3

tg(x) = -1 sin²(x) = 3/4

x₁ = 3π/4 + πn, n∈Z sin(x) = ±√3/2

sin(x) = -√3/2 или sin(x) = √3/2

x₂ = arcsin(-√3/2) + 2πn x₄ = arcsin(√3/2) + 2πn

x₃ = π-arcsin(-√3/2) + 2πn x₅ = π-arcsin(√3/2) + 2πn

x₂ = -π/3 + 2πn x₄ = π/3 + 2πn

x₃ = π+π/3 + 2πn x₅ = π-π/3 + 2πn

x₂ = 5π/3 + 2πn, n∈Z x₄ = π/3 + 2πn, n∈Z

x₃ = 4π/3 + 2πn, n∈Z x₅ = 2π/3 + 2πn, n∈Z

Следовательно:

x₄ = π/3 + 2πn, n∈Z,

x₅ = 2π/3 + 2πn, n∈Z

ответ: x₁ = 3π/4 + πn, n∈Z;

x₄ = π/3 + 2πn, n∈Z;

x₅ = 2π/3 + 2πn, n∈Z

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Ответ:

Kuprums

11.04.2023 01:56

0 және не знаю как гOTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

Write the correct preposition, then complete the

sentences for you.

Write the correct preposition, then complete the

sentences for you.

Write the correct preposition, then complete the

sentences for you.

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

Write the correct preposition, then complete the

sentences for you.

Write the correct preposition, then complete the

sentences for you.

Write the correct preposition, then complete the

sentences for you.

Write the correct preposition, then complete the

sentences for you.

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