ВНИМАНИЕ!!!!!!!!!! ДАМ 40 БАЛЛОВ корень из 3 tg (3x+ pi/6)=1 ,,,,,,, корень из 2 sin (x/2 +pi/4)=1 ,,,,,,,, 2cos(4x - pi/6)= кор
Nimbes [50]
Tg(3x+π/6)=1/√3
3x+π/6=π/6+πn
3x=πn
x=πn/3,n∈z
sin(x/2+π/4)=1/√2
x/2+π/4=π/4+2πn U x/2+π/4=3π/4+2πk
x/2=2πn U x/2=π/2+2πk
x=4πn,n∈z U x=π+4πk,k∈z
cos(4x-π/6)=√3/2
4x-π/6=-π/6+2πn U 4x-π/6=π/6+2πk
4x=2πn U 4x=π/3+2πk
x=πn/2,n∈z U x=π/12+πk/2,k∈z
![\Big(\dfrac{8}{\sqrt{x}-1}+\dfrac{\sqrt[4]{x}+1}{\sqrt[4]{x}-1}-\dfrac{\sqrt[4]{x}+3}{\sqrt[4]{x}+1}\Big):\dfrac{3}{\sqrt{x}-1}=\\ \\ \\ =\Big(\dfrac{8}{\sqrt{x}-1}+\dfrac{(\sqrt[4]{x}+1)^2-(\sqrt[4]{x}+3)(\sqrt[4]{x}-1)}{(\sqrt[4]{x}-1)\cdot (\sqrt[4]{x}+1)}\Big)\cdot \dfrac{\sqrt{x}-1}{3}=\\ \\ \\=\Big(\dfrac{8}{\sqrt{x}-1}+\dfrac{\sqrt{x}+2\sqrt[4]{x}+1-(\sqrt{x}-\sqrt[4]{x}+3\sqrt[4]{x}-3)}{\sqrt{x}-1}\Big)\cdot \dfrac{\sqrt{x}-1}{3}=](https://tex.z-dn.net/?f=%5CBig%28%5Cdfrac%7B8%7D%7B%5Csqrt%7Bx%7D-1%7D%2B%5Cdfrac%7B%5Csqrt%5B4%5D%7Bx%7D%2B1%7D%7B%5Csqrt%5B4%5D%7Bx%7D-1%7D-%5Cdfrac%7B%5Csqrt%5B4%5D%7Bx%7D%2B3%7D%7B%5Csqrt%5B4%5D%7Bx%7D%2B1%7D%5CBig%29%3A%5Cdfrac%7B3%7D%7B%5Csqrt%7Bx%7D-1%7D%3D%5C%5C+%5C%5C+%5C%5C+%3D%5CBig%28%5Cdfrac%7B8%7D%7B%5Csqrt%7Bx%7D-1%7D%2B%5Cdfrac%7B%28%5Csqrt%5B4%5D%7Bx%7D%2B1%29%5E2-%28%5Csqrt%5B4%5D%7Bx%7D%2B3%29%28%5Csqrt%5B4%5D%7Bx%7D-1%29%7D%7B%28%5Csqrt%5B4%5D%7Bx%7D-1%29%5Ccdot+%28%5Csqrt%5B4%5D%7Bx%7D%2B1%29%7D%5CBig%29%5Ccdot+%5Cdfrac%7B%5Csqrt%7Bx%7D-1%7D%7B3%7D%3D%5C%5C+%5C%5C+%5C%5C%3D%5CBig%28%5Cdfrac%7B8%7D%7B%5Csqrt%7Bx%7D-1%7D%2B%5Cdfrac%7B%5Csqrt%7Bx%7D%2B2%5Csqrt%5B4%5D%7Bx%7D%2B1-%28%5Csqrt%7Bx%7D-%5Csqrt%5B4%5D%7Bx%7D%2B3%5Csqrt%5B4%5D%7Bx%7D-3%29%7D%7B%5Csqrt%7Bx%7D-1%7D%5CBig%29%5Ccdot+%5Cdfrac%7B%5Csqrt%7Bx%7D-1%7D%7B3%7D%3D)
![=\Big(\dfrac{8}{\sqrt{x}-1}+\dfrac{\sqrt{x}+2\sqrt[4]{x}+1-\sqrt{x}+\sqrt[4]{x}-3\sqrt[4]{x}+3}{\sqrt{x}-1}\Big)\cdot \dfrac{\sqrt{x}-1}{3}=\\ \\ \\ =\Big(\dfrac{8}{\sqrt{x}-1}+\dfrac{4}{\sqrt{x}-1}\Big)\cdot \dfrac{\sqrt{x}-1}{3}=\\ \\ \\ =\dfrac{12}{\sqrt{x}-1}\cdot \dfrac{\sqrt{x}-1}{3}=4](https://tex.z-dn.net/?f=%3D%5CBig%28%5Cdfrac%7B8%7D%7B%5Csqrt%7Bx%7D-1%7D%2B%5Cdfrac%7B%5Csqrt%7Bx%7D%2B2%5Csqrt%5B4%5D%7Bx%7D%2B1-%5Csqrt%7Bx%7D%2B%5Csqrt%5B4%5D%7Bx%7D-3%5Csqrt%5B4%5D%7Bx%7D%2B3%7D%7B%5Csqrt%7Bx%7D-1%7D%5CBig%29%5Ccdot+%5Cdfrac%7B%5Csqrt%7Bx%7D-1%7D%7B3%7D%3D%5C%5C+%5C%5C+%5C%5C+%3D%5CBig%28%5Cdfrac%7B8%7D%7B%5Csqrt%7Bx%7D-1%7D%2B%5Cdfrac%7B4%7D%7B%5Csqrt%7Bx%7D-1%7D%5CBig%29%5Ccdot+%5Cdfrac%7B%5Csqrt%7Bx%7D-1%7D%7B3%7D%3D%5C%5C+%5C%5C+%5C%5C+%3D%5Cdfrac%7B12%7D%7B%5Csqrt%7Bx%7D-1%7D%5Ccdot+%5Cdfrac%7B%5Csqrt%7Bx%7D-1%7D%7B3%7D%3D4)
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Использованы формулы
![\sqrt[4]{x}^2=\sqrt{x}\\ \\(a+b)^2=a^2+2ab+b^2 \\ \\(a-b)(a+b)=a^2-b^2](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%7D%5E2%3D%5Csqrt%7Bx%7D%5C%5C+%5C%5C%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2+%5C%5C+%5C%5C%28a-b%29%28a%2Bb%29%3Da%5E2-b%5E2)
3x^2-9x=0
ax^2+bx+c=0
D=b^2-4*a*c=(-9)^2-4*3*0=81-0=81
x1=-b+Корень(D) 9+9 18 x2=-b-Корень(D) 9-9
-------------------- = ---------- = ------- = 6 ------------------ = -------- = 0
2a 6 3 2a 6
7-2=5 мешков разница
<span> 4ц20кг=420 кг</span>
<span>420:5=84 кг в одном мешке</span>
<span>84*2+84*7=756 кг</span>
<span>ответ 756 кг=7 ц 56 кг</span>
всё это же просто тебе график нужен или нет