Очень нужно: Решите неравенство:. Created by 111111DA. algebra-ru

+ - +___________[- 0,25]___________[2]___________mm ≥ - 0,25m ≤ 2x ∈ (- ∞ ; 1]

Очень нужно: Решите неравенство:...

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July 2022 1 5 Report

Очень нужно:
Решите неравенство:

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$4*4^{x}-7*2^{x}-2\leq0\\\\2^{x} =m\\\\4m^{2}-7m-2\leq0\\\\4m^{2}-7m-2=0\\\\D=(-7)^{2}-4*4*(-2)=49+32=81=9^{2}\\\\m_{1}=\frac{7+9}{8}=2\\\\m_{2}=\frac{7-9}{8}=-\frac{1}{4}=-0,25\\\\4(m-2)(m+0,25)\leq0\\\\(m-2)(m+0,25)\leq0$

+ - +

___________[- 0,25]___________[2]___________m

m ≥ - 0,25

m ≤ 2

$2^{x}>0\\\\2^{x}\leq2\\\\x\leq1$

x ∈ (- ∞ ; 1]

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