![\frac{ x^{2} - y^{2} }{ x^{2} +2xy+ y^{2} }= \frac{(x-y)(x+y)}{(x+y) ^{2} }= \frac{x-y}{x+y}\\\\ \frac{23,5-6,5}{23,5+6,5} = \frac{17}{30}\\\\\\ \frac{2x}{4x+3} \geq \frac{1}{2} \\\\ \frac{2x}{4x+3}- \frac{1}{2} \geq 0\\\\ \frac{4x-4x-3}{2(4x+3)} \geq 0\\\\ -\frac{3}{2(4x+3)} \geq 0\\\\ \frac{1}{4x+3} \leq 0\\\\4x+3 \leq 0\\\\4x \leq -3\\\\x \leq -0,75](https://tex.z-dn.net/?f=+%5Cfrac%7B+x%5E%7B2%7D+-+y%5E%7B2%7D+%7D%7B+x%5E%7B2%7D+%2B2xy%2B+y%5E%7B2%7D+%7D%3D+%5Cfrac%7B%28x-y%29%28x%2By%29%7D%7B%28x%2By%29+%5E%7B2%7D+%7D%3D+%5Cfrac%7Bx-y%7D%7Bx%2By%7D%5C%5C%5C%5C+%5Cfrac%7B23%2C5-6%2C5%7D%7B23%2C5%2B6%2C5%7D+%3D++%5Cfrac%7B17%7D%7B30%7D%5C%5C%5C%5C%5C%5C+%5Cfrac%7B2x%7D%7B4x%2B3%7D+%5Cgeq++%5Cfrac%7B1%7D%7B2%7D+%5C%5C%5C%5C+%5Cfrac%7B2x%7D%7B4x%2B3%7D-+%5Cfrac%7B1%7D%7B2%7D+%5Cgeq+0%5C%5C%5C%5C+%5Cfrac%7B4x-4x-3%7D%7B2%284x%2B3%29%7D+%5Cgeq+0%5C%5C%5C%5C+-%5Cfrac%7B3%7D%7B2%284x%2B3%29%7D++%5Cgeq+0%5C%5C%5C%5C+%5Cfrac%7B1%7D%7B4x%2B3%7D+%5Cleq+0%5C%5C%5C%5C4x%2B3+%5Cleq+0%5C%5C%5C%5C4x+%5Cleq+-3%5C%5C%5C%5Cx+%5Cleq+-0%2C75++++++++++)
ОДЗ: 4x + 3 ≠ 0 ⇒ x ≠ - 0,75
Ответ: (- ∞ ; - 0,75)
0,6x-1,8-0,5x+0,5=1,5
0,6x-0,5x=1,5-0,5+1,8
0,1x=2,8
X=28
-2x³+10x²+7x²-35x = -2x³+17x²-35x.
Если учитель потреует, то можно записать так, чтобы первый член был положительным, а именно:
2x³-17x²+35x.
Держи ;)
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X --> g(x)
N-->R
x∈N, g(x)∈R
g(x)=2√x -3
x=1 g(1)=2√1 -3 =2-3=-1
x=4 g(4)=2√4 -3 =2*2-3=4-3=1
x=9 g(3)=2√9 -3 =2*3 -3 =6-3 =3
g(x)={-1; 1; 3; ...}