(4x-15)3-11=(-2)2
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\(\left(4x+15\right)^3=27\Rightarrow4x+15=3\Leftrightarrow x=-3\)
(4x + 15)3- 11 = ( - 2 )4
(4x + 15)3 = (-2)4+11
(4x + 15)3 = 27
(4x+15)3 = 33
=> 4x+15 = 3
4x = -12
x = -3
Sửa đề: \(\left(4x+15\cdot3\right)-11=-2^4\)
=>\(4x+35-11=-16\)
=>4x+24=-16
=>4x=-14-26=-40
=>x=-40/4=-10
`@` `\text {Ans}`
`\downarrow`
\(\dfrac{2}{3}+\left[\dfrac{4}{5}x-\dfrac{11}{15}\right]=\dfrac{5}{9}\)
`=>`\(\dfrac{4}{5}x-\dfrac{11}{15}=\dfrac{5}{9}-\dfrac{2}{3}\)
`=>`\(\dfrac{4}{5}x-\dfrac{11}{15}=-\dfrac{1}{9}\)
`=>`\(\dfrac{4}{5}x=-\dfrac{1}{9}+\dfrac{11}{15}\)
`=>`\(\dfrac{4}{5}x=\dfrac{28}{45}\)
`=>`\(x=\dfrac{28}{45}\div\dfrac{ 4}{5}\)
`=>`\(x=\dfrac{7}{9}\)
Vậy, `x = 7/9.`
\(\left(\dfrac{3}{4}-3x\right)\cdot\left(1+4x\right)=0\)
`=>`\(\left[{}\begin{matrix}\dfrac{3}{4}-3x=0\\1+4x=0\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}3x=\dfrac{3}{4}\\4x=-1\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}x=\dfrac{1}{4}\\x=-\dfrac{1}{4}\end{matrix}\right.\)
Vậy, `x \in {1/4; -1/4}.`
b) \(1+4x-3|x+2|+4=0\)
\(\Leftrightarrow4x-3|x+2|=-5\left(1\right)\)
TH1: Với \(|x+2|=x+2\)thay vào (1) ta được:
\(4x-3\left(x+2\right)=-5\)
\(\Leftrightarrow4x-3x-6=-5\)
\(\Leftrightarrow x=1\)(chọn tự thử lại nhé nó =0 )
TH2: Với \(|x+2|=-x-2\)thay vào (1) ta được:
\(4x-3\left(-x-2\right)=-5\)
\(\Leftrightarrow4x+3x+6=-5\)
\(\Leftrightarrow7x=-11\)
\(\Leftrightarrow x=\frac{-11}{7}\)( loại tự thử lại nhé nó ko =0 )
Vậy x=1
a, \(4\left(18-5x\right)-12\left(3x-7\right)=15\left(2x-16\right)-6\left(x+14\right)\)
\(\Rightarrow72-20x-36x+84=30x-240-6x-84\)
\(\Rightarrow-20x-36x-30x+6x=-240-84-72-84\)
\(\Rightarrow-80x=-480\Rightarrow x=6\)
b, \(5\left(3x+5\right)-4\left(2x-3\right)=5x+3\left(2x+12\right)+1\)
\(\Rightarrow15x+25-8x+12=5x+6x+36+1\)
\(\Rightarrow15x-8x-5x-6x=36+1-25-12\)
\(\Rightarrow-4x=0\Rightarrow x=0\)
c, \(2\left(5x-8\right)-3\left(4x-5\right)=4\left(3x-4\right)+11\)
\(\Rightarrow10x-16-12x+15=12x-16+11\)
\(\Rightarrow10x-12x-12x=-16+11+16-15\)
\(\Rightarrow-14x=-4\Rightarrow x=\dfrac{2}{7}\)
d, \(5x-3\left\{4x-2\left[4x-3\left(5x-2\right)\right]\right\}=182\)
\(\Rightarrow5x-3\left[4x-2\left(4x-15x+6\right)\right]=182\)
\(\Rightarrow5x-3\left(4x-8x+30x-12\right)=182\)
\(\Rightarrow5x-12x+24x-90x+36=182\)
\(\Rightarrow-73x=182-36\)
\(\Rightarrow-73x=146\Rightarrow x=-2\)
Chúc bạn học tốt!!!
\(\left(4x-15\right)^3-11=\left(-2\right)^2\)
\(=\left(4x-15\right)^3-11=4\)
\(=\left(4x-15\right)^3=4+11\)
\(=\left(4x-15\right)^3=15\)
\(=\left(4x-15\right)=\sqrt[3]{15}\)
xong r mình chịu