tim x de: (x+1)+(x+3)+(x+5)+...+(x+77)+(x+79)=120
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a) 120 - ( x + 14 ) = 45
x + 14 = 120 - 45
x + 14 = 75
x = 75 - 14
x = 61
b) 79 - x - 18 = 37
79 - x = 37 + 18
79 - x = 55
x = 79 - 55
x = 24
Do |x + 1| > hoặc = 0; |3 + x| > hoặc = 0; |5 + x| > hoặc = 0
=> 4x > hoặc = 0
=> x > hoặc = 0
Khi x > hoặc = 0 thì |x + 1| + |3 + x| + |5 + x| = (x + 1) + (3 + x) +(5 + x)
=> (x + 1) + (3 + x) + (5 + x) = 4x
=> 3x + 9 = 4x
=> 4x - 3x = 9
=> x = 9
=>(1/2+1/3+...+1/80)*x>(1+1/79+1+2/78+...+1+78/2+1)
=>\(x\left(\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{80}\right)>\dfrac{80}{80}+\dfrac{80}{79}+...+\dfrac{80}{3}+\dfrac{80}{2}\)
=>x>80
1.x=1;5
2.x=11
3.x=1;y=4
4.a)a=2;12 b)a=1;2
nho h cho minh nha
- \(B=\left(\frac{21}{\left(x-3\right)\left(x+3\right)}+\frac{\left(x-4\right)\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}-\frac{\left(x-3\right)\left(x-1\right)}{\left(x-3\right)\left(x+3\right)}\right):\frac{x+3-1}{x+3}\)\(=\frac{3x+6}{\left(x-3\right)\left(x+3\right)}.\frac{x+3}{x+2}=\frac{3\left(x+2\right)\left(x+3\right)}{\left(x-3\right)\left(x+3\right)\left(x+2\right)}=\frac{3}{x-3}\)
- Điều kiện \(x\ne3\) \(\Rightarrow\frac{-3}{5}=\frac{3}{x-3}\Leftrightarrow x-3=-5\Leftrightarrow x=-2\)
- \(B=\frac{3}{x-3}< 0\Leftrightarrow x-3< 0\Leftrightarrow x< 3\)
a) B=(\(\frac{21}{x^2-9}\)-\(\frac{x-4}{3-x}\)-\(\frac{x-1}{3+x}\)) : (1-\(\frac{1}{x+3}\)) (ĐK: x khác +-3)
=(\(\frac{21}{\left(x-3\right).\left(x+3\right)}\)+\(\frac{x-4}{x-3}\)-\(\frac{x-1}{x+3}\)) : (1-\(\frac{1}{x+3}\))
=(\(\frac{21+\left(x+4\right).\left(x+3\right)-\left(x-1\right).\left(x-3\right)}{\left(x-3\right).\left(x+3\right)}\):(\(\frac{x+3-1}{x+3}\))
=(\(\frac{3x+6}{\left(x-3\right).\left(x+3\right)}\)) . (\(\frac{x+3}{x+2}\))
=(\(\frac{3.\left(x+2\right)}{\left(x-3\right).\left(x+3\right)}\). \(\frac{x+3}{x+2}\)
=\(\frac{3}{x-3}\)
b) B=\(\frac{3}{x-3}\)=\(\frac{-3}{5}\)
(=) \(\frac{3.5}{x-3}\)=-3
(=) -3.(x-3) = 15
(=) -3x=6
(=) x=-2
vậy x=2 thì B=\(\frac{-3}{5}\)
c) B=\(\frac{3}{x-3}\)<0
(=) 3 < x - 3
(=) -x < - 3 - 3
(=) x > 6
Vậy với x > 6 thì B < 0
dễ mà
(ghi lại đề)=(x+x+x+....+x)+(1+3+5+...+79)=x+x+x+.......x+1600=120
-->x+x+x+...+x=-1480
x=-1480/37(vì có 37 số hạng)
-->x=-40