tìm x
( x -4 ) x3 + 7 = 240
3 x ( x - 5 ) + 8 x x = 62
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<=> \(\frac{1.2.3....31}{4.6.8....64}=2^n\Rightarrow\frac{1.2.3....30.31}{2\left(2.3.4.5...31\right).32}=2^n\Leftrightarrow\frac{1}{2.32}=2^n\Leftrightarrow\frac{1}{2^6}=2^n\)
=> 2^6.2^n = 1
=> 2^ (n + 6 ) = 2^0
=> n+ 6 = 0
=> n = - 6
\(\frac{1}{4}.\frac{2}{6}.\frac{3}{8}....\frac{31}{64}=\frac{1.2.3....31}{4.6.8....64}=\frac{1.2.3....31}{2.3.2.4....2.32}=\frac{1.2.3....31}{2^{30}.\left(3.4....32\right)}=\frac{2}{2^{30}.32}=\frac{1}{2^{34}}=2^{-34}=2^n=>n=-34\)
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l) (x + 9) . (x2 – 25) = 0
<=> (x + 9) . (x – 5) . (x + 5) = 0
<=> \(\left[{}\begin{matrix}\text{x + 9 = 0}\\x-5=0\\x+5=0\end{matrix}\right.\left[{}\begin{matrix}x=-9\\x=5\\x=-5\end{matrix}\right.\)
Vậy S = \(\left\{-9,5,-5\right\}\)
e) |x - 4 |< 7
<=> \(\left[{}\begin{matrix}x-4=7\\x-4=-7\end{matrix}\right.< =>\left[{}\begin{matrix}x=11\\x=-3\end{matrix}\right.\)
Vậy S = \(\left\{11;-3\right\}\)
I,(x+9).(x^2-25)=0
tương đương:x+9=0
x^2-25=0
tương đương : x=-9
x=5
e,\(\left|x-4\right|\)=7
tương đương x-4=4
x-4=-4
tương đương :x=0
x=-8
Lời giải:
\(\frac{4}{9}\times \frac{3}{7}\times \frac{7}{4}=\frac{1}{3}\)
\(\frac{6}{5}\times \frac{4}{5}\times \frac{25}{16}=\frac{3}{2}\)
\(\frac{7}{8}\times \frac{16}{9}\times \frac{3}{14}=\frac{1}{3}\)
100 x 1 x 2 x3 x 4 x 5 x 6 x 7 x 8 x 9 x 0
= ( 100 x 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 ) x 0
= 0
P/s : ^^ Học tốt!
a, Không rõ đề bạn ơi ;-;
b, ĐKXĐ : \(x\ge0\)
Ta có : \(\left(\sqrt{x}-2\right)\left(5-\sqrt{x}\right)=4-x=\left(2-\sqrt{x}\right)\left(2+\sqrt{x}\right)\)
\(\Leftrightarrow\left(\sqrt{x}-2\right)\left(\sqrt{x}-5\right)=\left(\sqrt{x}-2\right)\left(2+\sqrt{x}\right)\)
\(\Leftrightarrow\left(\sqrt{x}-2\right)\left(\sqrt{x}-5-\sqrt{x}-2\right)=0\)
\(\Leftrightarrow\sqrt{x}-2=0\)
\(\Leftrightarrow x=4\) ( TM )
Vậy ...
`b)(sqrtx-2)(5-sqrtx)=4-x`
`đk:0<=x`
`pt<=>(sqrtx-2)(sqrtx-5)=x-4`
`<=>x-7sqrtx+10=x-4`
`<=>7sqrtx=14`
`<=>sqrtx=2`
`<=>x=4(tmđk).`
a) 1/5 x 19 x 2/3 x 10 x 1/2 x 3 x 1/38
= ( 1/5 x 10 ) x ( 19 x 1/38 ) x ( 2/3 x 1/2 ) x 3
= ( 2 x 1/2 ) x ( 1/3 x 3 )
= 1 x 1
= 1
b) 5/8 x 4 x 8/5 x 7 x 0,25 x 1/8
= ( 5/8 x 8/5 ) x (4 x 0,25 ) x ( 7 x 1/8 )
= 1 x 1 x 7/8
= 7/8
( x -4 ) x3 + 7 = 240
(x-4) x 3= 240 -7
(x-4) x 3 = 233
x-4= 233/3
x= 233/3 +4
x= 245/3
3 x ( X - 5 ) + 8 x X = 62
3 x X + 8 x X - 15 = 62
11 x X = 62 + 15
11 x X = 77
X=77:11
X=7
\(\left(x-4\right)\times3+7=240\)
\(\left(x-4\right)\times3=233\)
\(x-4=\dfrac{233}{3}\)
\(x=\dfrac{233}{3}+4\)
\(x=\dfrac{245}{3}\)
\(3\times\left(x-5\right)+8\times x=62\)
\(3\times x-15+8\times x=62\)
\(3\times x+8\times x=77\)
\(11\times x=77\)
\(x=\dfrac{77}{11}=7\)