a. 41 – (2x – 5) = 18
b. 2x. 4 = 128
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\(\left(1-2x\right)^4=\dfrac{1}{128}\)
\(\Leftrightarrow1-2x=\dfrac{\sqrt[4]{2}}{4}\)
\(\Leftrightarrow2x=\dfrac{1-\sqrt[4]{2}}{4}\)
hay \(x=\dfrac{1-\sqrt[4]{2}}{8}\)
\(\left(1-2x\right)^4=\dfrac{1}{128}\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-1=\dfrac{\sqrt[4]{2}}{4}\\2x-1=\dfrac{-\sqrt[4]{2}}{4}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{\sqrt[4]{2}+1}{8}\\x=\dfrac{-\sqrt[4]{2}+1}{8}\end{matrix}\right.\)
a)
(x+4)(3x-5) = 0
=> x + 4 = 0 hoặc 3x-5 = 0
x = -4 x = 5/3
b)
2x2 + 7x + 3 = 0
2x2 + 6x + x + 3= 0
(2x+1)(x+3) = 0
=> 2x+1 = 0 hoặc x + 3 = 0
x = -1/2 x = -3
\(\frac{2x+3}{4}>\frac{4-x}{-3}\)
\(\frac{3\left(2x+3\right)}{12}>\frac{-4\left(4-x\right)}{12}\)
\(3\left(2x+3\right)>-4\left(4-x\right)\)
\(6x+9>-16+4x\)
\(6x+9-4x>-16\)
\(2x+9>-16\)
\(2x>-25\Leftrightarrow x>-\frac{25}{2}\)
Bài 1:
ta có:\(\hept{\begin{cases}a.b=18\\a+b=11\end{cases}}\)
pt (1) \(\Leftrightarrow b\left(11-b\right)=18\)
\(\Rightarrow11b-b^2=18\)
\(\Rightarrow-\left(11b+b^2\right)=18\)
\(\Rightarrow b^2+11b=18\)
\(\Rightarrow b^2+11b+18=0\)
\(\Rightarrow b^2+11b+22-4=0\)
\(\Rightarrow\left(b+11\right)-4=0\)
\(\Rightarrow\left(b+11+2\right).\left(b+11-2\right)=0\)
\(\Rightarrow\left(b+13\right).\left(b+9\right)=0\)
\(\Rightarrow\hept{\begin{cases}b=-13\Leftrightarrow a=2\\b=-9\Leftrightarrow a=-2\end{cases}}\)
Bài 2:
2)
P=-[(2x-6)2+/-5-y/-37]
Vi (2x-6)2 ≥0 , /-5-y/≥0 nên (2x-6)2+/-5-y/-37-37/ => P≤37
Dấu = xảu ra khi x=3 , y=-5
Vậy Max P=37 khi x=3 , y=-5
chúc bạn học tốt !
\(\frac{2x-4}{2014}+\frac{2x-2}{2016}\) và \(\frac{2x-1}{2017}+\frac{2x-3}{2015}\)
VT = \(\frac{2x-4}{2014}+\frac{2x-2}{2016}\)
= \(\frac{2x-4}{2014}+1+\frac{2x-2}{2016}+1\)
= \(\frac{2x-2018}{2014}+\frac{2x-2018}{2016}\)
VP = \(\frac{2x-1}{2017}+\frac{2x-3}{2015}\)
= \(\frac{2x-1}{2017}+1+\frac{2x-3}{2015}+1\)
= \(\frac{2x-2018}{2017}+\frac{2x-2018}{2015}\)
Mà \(\frac{2x-2018}{2014}>\frac{2x-2018}{2015}\) và \(\frac{2x-2018}{2016}>\frac{2x-2018}{2017}\)
nên \(\frac{2x-4}{2014}+\frac{2x-2}{2016}\) > \(\frac{2x-1}{2017}+\frac{2x-3}{2015}\)
Chúc bn học tốt!!
41-(2x-5)=18 2x.4=128
(2x-5)=41-18 2x=128:4
2x-5=23 2x=32
2x=23+5 x=32:2
2x=28 x=16
x=28:2
x=14
a. 2 x - 5 = 41 - 18
2x - 5 = 23
2x = 23 + 5
2x = 28
x = 28 : 2
x = 14