(x-1)2+(x-1)3=6
Tìm x
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(13x-122):5=5
13x-122 = 5 . 5
13x-122 = 25
13x = 25 + 122
13x = 169
x = 169 : 13
x = 13
Vậy x = 13
Thay x=2 và y=-1 vào (d),ta được:
2(m^2-5m+1)+2m-6=-1
=>2m^2-10m+2+2m-6+1=0
=>2m^2-8m-3=0
=>\(m=\dfrac{4\pm\sqrt{22}}{3}\)
\(\left(x-5\right)^5=\left(x-5\right)^6\)
\(\Rightarrow\left(x-5\right)^6-\left(x-5\right)^5=0\)
\(\Rightarrow\left(x-5\right)^5.\left(x-5-1\right)=0\)
\(\Rightarrow\left(x-5\right)^5.\left(x-6\right)=0\)
\(\Rightarrow\left\{{}\begin{matrix}\left(x-5\right)^5=0\\x-6=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=5\\x=6\end{matrix}\right.\)
\(\left\{{}\begin{matrix}n_{KOH}=0,3.x\left(mol\right)\\n_{Ba\left(OH\right)_2}=0,06\left(mol\right)\end{matrix}\right.\)
\(n_{BaCO_3}=\dfrac{9,85}{197}=0,05\left(mol\right)\)
PTHH: Ba(OH)2 + CO2 --> BaCO3 + H2O
_______0,06--->0,06----->0,06
2KOH + CO2 --> K2CO3 + H2O
0,3x->0,15x---->0,15x
K2CO3 + CO2 + H2O --> 2KHCO3
0,15x->0,15x
BaCO3 + CO2 + H2O --> Ba(HCO3)2
0,01--->0,01
=> 0,06 + 0,3x + 0,01 = 0,1
=> x = 0,1
B=2+22+23+...+2100
2B=22+23+24+...+2101
2B-B=(22+23+24+...+2101)-(2+22+23+...+2100)
B=2101-2
Theo như đề bài thì B+2=2X mà B=2101-2
Vậy B+2=2101-2+2=2101=2x
Suy ra x=101
Đáp số 101
\(\frac{2}{3}\left(x-1\right)-x-\frac{3}{4}=1\)
<=> \(\frac{2}{3}x-\frac{2}{3}-x-\frac{3}{4}=1\)
<=> \(-\frac{1}{3}x-\frac{17}{12}=1\)
<=> \(-\frac{1}{3}x=\frac{29}{12}\)
<=> \(x=-\frac{29}{4}\)
\(\frac{5}{6}\left(x+2\right)-x-\frac{1}{2}=\frac{1}{3}\)
<=> \(\frac{5}{6}x+\frac{5}{3}-x-\frac{1}{2}=\frac{1}{3}\)
<=> \(-\frac{1}{6}x+\frac{7}{6}=\frac{1}{3}\)
<=> \(-\frac{1}{6}x=-\frac{5}{6}\)
<=> \(x=5\)
học tốt
Lời giải:
$\frac{x^3+8}{x^2-2x+1}.\frac{x^2+3x+2}{1-x^2}=\frac{(x^3+8)(x^2+3x+2)}{(x^2-2x+1)(1-x^2)}$
$=\frac{(x+2)(x^2-2x+4)(x+1)(x+2)}{(x-1)^2(1-x)(x+1)}$
$=\frac{(x+2)^2(x^2-2x+4)}{-(x-1)^3}$
\(\dfrac{x^3+8}{x^2+2x+1}.\dfrac{x^2+3x+2}{1-x^2}\left(x\ne\pm1\right)\\ =\dfrac{x^3+2^3}{\left(x+1\right)^2}.\dfrac{\left(x^2+x\right)+\left(2x+2\right)}{1^2-x^2}\\ =\dfrac{\left(x+2\right)\left(x^2-2x+4\right)}{\left(x+1\right)^2}.\dfrac{x\left(x+1\right)+2\left(x+1\right)}{\left(1-x\right)\left(1+x\right)}\\ =\dfrac{\left(x+2\right)\left(x^2-2x+4\right)}{\left(x+1\right)^2}.\dfrac{\left(x+2\right)\left(x+1\right)}{\left(1-x\right)\left(x+1\right)}\\ =\dfrac{\left(x+2\right)^2\left(x^2-2x+4\right)}{\left(1-x\right)\left(x+1\right)^2}\)
Ta có: \(\left(x-1\right)^2+\left(x-1\right)^3=6\)
\(\Leftrightarrow x^2-2x+1+x^3-3x^2+3x-1-6=0\)
\(\Leftrightarrow x^3-2x^2+x-6=0\)
Thực sự nghiệm PT rất xấu nên bạn xem kỹ lại đề nhé
\(x_1=2,537...\) ; \(x_2=-0,268...\pm1,513...\)
\(\left(x-1\right)^2+\left(x-1\right)^3=6\)
\(\left(x-1\right)^2\left(1+x-1\right)-6=0\)
\(\left(x-1\right)^2\cdot x-6=0\)
\(x\left(x^2-2x+1\right)-6=0\)
\(x^3-2x^2+x-6=0\)
Đến đây bấm máy tính nha