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Ta có : (6 - x)2014 = (6 - x)2015
=> (6 - x)2014 - (6 - x)2015 = 0
<=> (6 - x)2014(1 - 6 - x) = 0
<=> \(\orbr{\begin{cases}\left(6-x\right)^{2014}=0\\1-6-x=0\end{cases}}\)
<=> \(\orbr{\begin{cases}6-x=0\\-5-x=0\end{cases}}\)
<=> \(\orbr{\begin{cases}x=6\\x=-5\end{cases}}\)
sory bạn trừng hợp hai mk nhầm :
1 - (6 - x) = 0
=> 1 - 6 + x = 0
=> -5 + x = 0
=> x = 5
a) x2 + 5x = 0
=> x.(x + 5) = 0
=> x = 0 hoặc x + 5 = 0
=> x = 0 hoặc x = -5
b) 1/21 + 1/28 + 1/36 + ... + 2/x(x + 1) = 2/9
=> 2/42 + 2/56 + 2/72 + ... + 2/x(x + 1) = 2/9
=> 2 × [1/6×7 + 1/7×8 + 1/8×9 + ... + 1/x(x + 1)] = 2/9
=> 1/6 - 1/7 + 1/7 - 1/8 + 1/8 - 1/9 + ... + 1/x - 1/x + 1 = 2/9 : 2
=> 1/6 - 1/x + 1 = 2/9 × 1/2 = 1/9
=> 1/x + 1 = 1/6 - 1/9
=> 1/x + 1 = 3/18 - 2/18
=> 1/x + 1 = 1/18
=> x + 1 = 18
=> x = 17
Câu 1 : Thực hiện phép tính.
a. 17.64 + 17.36 + 315
= 17 . ( 64 + 36 ) + 315
= 17 . 100 + 315
= 1700 + 315
= 2015
b. 25 + [(-38) + (-25)] + 18
= 25 + ( -38) + (-25) + 18
= [ 25 + (-25) ] + [ (-38) + 18 ]
= 0 + (-20)
= -20
.
a) 120 - 5 . ( x + 2 ) = 45
5 . (x + 2) = 120 - 45
5 . (x + 2) = 75
x + 2 = 75 : 5
x + 2 = 15
x = 17
b) ( 2.x - 3 )2 = 49
( 2.x - 3 )2 = 72
( 2.x - 3 ) = 7
2x = 10
x = 5
2. \(\dfrac{1}{21}+\dfrac{1}{28}+\dfrac{1}{36}+...+\dfrac{2}{x.\left(x+1\right)}=\dfrac{2}{9}\)
\(\dfrac{2}{42}+\dfrac{2}{56}+\dfrac{2}{72}+...+\dfrac{2}{x.\left(x+1\right)}=\dfrac{2}{9}\)
\(\dfrac{2}{6.7}+\dfrac{2}{7.8}+\dfrac{2}{8.9}+...+\dfrac{2}{x.\left(x+1\right)}=\dfrac{2}{9}\)
\(2.\left(\dfrac{1}{6.7}+\dfrac{1}{7.8}+...+\dfrac{1}{x.\left(x+1\right)}\right)=\dfrac{2}{9}\)
\(2.\left(\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}+...+\dfrac{1}{x}-\dfrac{1}{x+1}\right)=\dfrac{2}{9}\)
\(2.\left(\dfrac{1}{6}-\dfrac{1}{x+1}=\dfrac{2}{9}\right)\)
\(\dfrac{1}{6}-\dfrac{1}{x+1}=\dfrac{2}{9}:2\)
\(\dfrac{1}{6}-\dfrac{1}{x+1}=\dfrac{1}{9}\)
\(\dfrac{1}{x+1}=\dfrac{1}{6}-\dfrac{1}{9}\)
\(\dfrac{1}{x+1}=\dfrac{1}{18}\)
\(\Rightarrow x+1=18\)
\(\Rightarrow x=17\)
Bài 2 :
a, \(2^x+2^{x+4}=272\)
\(2^x+2^x.2^4=272\)
\(2^x.\left(1+2^4\right)=272\)
\(2^x.17=272\)
\(2^x=272:17\)
\(2^x=16=2^4\)
\(\Rightarrow x=4\)
1: Bài này hơi khó đó
\(\frac{1}{21}+\frac{1}{28}+\frac{1}{36}+...+\frac{1}{x\times\left(x+1\right)\div2}=\frac{2}{9}\)
\(\Rightarrow\frac{1}{6\times\left(6+1\right)\div2}+\frac{1}{7\times\left(7+1\right)\div2}+...+\frac{1}{x\times\left(x+1\right)\div2}=\frac{2}{9}\)
\(\Rightarrow\frac{1}{6\times7\div2}+\frac{1}{7\times8\div2}+...+\frac{1}{x\times\left(x+1\right)\div2}\)
\(\Rightarrow\frac{2}{6\times7}+\frac{2}{7\times8}+...+\frac{2}{x\times\left(x+1\right)}=\frac{2}{9}\)
\(\Rightarrow2\times\left(\frac{1}{6}+\frac{1}{7}-\frac{1}{7}+\frac{1}{8}-\frac{1}{8}+...+\frac{1}{x}-\frac{1}{x+1}\right)=\frac{2}{9}\)
\(\Rightarrow2\times\left(\frac{1}{6}-\frac{1}{x+1}\right)=\frac{2}{9}\)
\(\Rightarrow\left(\frac{1}{6}-\frac{1}{x+1}\right)=\frac{2}{9}\div2\)
\(\Rightarrow\frac{1}{6}-\frac{1}{x+1}=\frac{1}{9}\)
\(\Rightarrow\frac{1}{x+1}=\frac{1}{18}\)
=> x = 18 - 1
=> x = 17
a,3(x+1)+2x+5=28
\(\Rightarrow\)3x+3+2x+5=28
\(\Rightarrow\)5x+8=28
\(\Rightarrow\)5x=20
\(\Rightarrow\)x=4
b,3x-1=92
\(\Rightarrow\)3x-1=(32)2
\(\Rightarrow\)3x-1=34
\(\Rightarrow\)x-1=4
\(\Rightarrow\)x=5
c,3x+2+2.3x=99
\(\Rightarrow\)3x.9+2.3x=99
\(\Rightarrow\)11.3x=99
\(\Rightarrow\)3x=9
\(\Rightarrow\)3x=32
\(\Rightarrow\)x=2
a ) \(3\left(x+1\right)+2x+5=28\)
=> \(3x+3+2x+5=28\)
=> \(5x+8=28\)
=> \(5x=20\)
=> \(x=4\)
B ) \(3^{x-1}=9^2\)
=> \(3^{x-1}=81\)
=> \(x=5\)
\(a,
3\left(x+1\right)+2x+5=28\)
\(\Rightarrow3x+3+2x+5=28\)
\(\Rightarrow5x+8=28\)
\(\Rightarrow5x=20\)
\(\Rightarrow x=4\)
\(b,3^{x-1}=9^2\)
\(\Rightarrow3^{x-1}=81\)
\(\Rightarrow x=5\)