кончено, входит))))))))))))))
Cosα+cos2α+cos6α+cos7α=(cosα+cos7α)+(cos2α+cos6α)=
=2·cos<span>(α+7α)/2</span>·cos((α-7α)/2+2·cos(2α+6α)/2·cos(2α-6α)/2=
=2cos4α·cos(-3α)+2·cos4α·cos(-2α)=
=2·cos4α·(cos3α+cos2α)=2cos4α·2·cos5α/2·cosα/2=
=4cos4α·cos5α/2·cosα/2;
2X^2 + 3 = 3 - 7X
2X^2 + 3 - 3 + 7X = 0
2X^2 + 7X = 0
2X * ( X + 3,5 ) = 0
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2X = 0
X = 0
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X + 3,5 = 0
X = - 3,5
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Ответ 0 ; - 3,5
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5X - 4Y = 12
X - 5Y = - 6
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X = 5Y - 6
5*( 5Y - 6) - 4Y = 12
25Y - 30 - 4Y =12
21Y = 42
Y = 2
X = 10 - 6 = 4
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Ответ X = 4 ; Y = 2
(x - 4)² - 25x² = (x - 4)² - (5x)² = (x - 4 - 5x)(x-4 +5x) =
= (-4x - 4)(6x - 4) = - 4(x +1) * 2(3x - 2) =
= - 8(x+1)(3x - 2)
a²-b²-4b - 4a = (a-b)(a+b) - 4(a+b) = (a+b)(a-b -4)
(a+b)² - (a-b)² = 4ab
a² + 2ab + b² - (a² - 2ab + b²) = 4ab
a² + 2ab + b² - a² +2ab - b² = 4ab
(a² -a²) + (b² - b²) + (2ab+2ab) = 4ab
4ab = 4ab
тождество доказано
Из корня 3x будет равно 15x