tim x:
(x+1)+(x+3)+(x+5)+...+(x+27)+(x+29)=570
tim x biet (x+1)+(x+2)+(x+3)+...+(x+100) =570
\((x+1)+(x+2)+(x+3)+...+(x+100)=570\)
\(\Rightarrow(x+x+x+...+x)+(1+2+3+...+100)=570\)
\(\Rightarrow100x+\frac{(1+100)\cdot100}{2}=570\)
\(\Rightarrow100x+5050=570\)
\(\Rightarrow100x=570-5050\)
\(\Rightarrow100x=-4480\)
\(\Rightarrow x=-44,8\)
P/S : Làm bừa :> Hoq chắc
\(\left(x+1\right)+\left(x+2\right)+...+\left(x+100\right)=570\)
\(\left(x+x+x+...+x\right)+\left(1+2+...+100\right)=570\)
\(100x+5050=570\)
\(100x=-4480\)
\(x=-44,8\)
T sửa đề =)))
\(\left(x+1\right)+\left(x+2\right)+...+\left(x+100\right)=5750\)
\(\left(x+x+...+x\right)+\left(1+2+...+100\right)=5750\)
\(100x+5050=5750\)
\(100x=700\)
\(x=7\)
\(\dfrac{29-x}{21}\)+\(\dfrac{27-x}{23}\)+\(\dfrac{25-x}{25}\)+\(\dfrac{23-x}{27}\)+\(\dfrac{21-x}{29}\)=\(\dfrac{(29-x+1}{21}\)+\(\dfrac{(27-x+1)}{23}\)+\(\dfrac{(25-x+1)}{25}\)+\(\dfrac{(23-x+1)}{21}\)=-5 +5
GIẢI nốt hộ mình với ạ
GIẢI PHƯƠNG TRÌNH
1)\(\dfrac{x+1}{35}+\dfrac{x+3}{33}=\dfrac{x+5}{31}+\dfrac{x+7}{29}\)
2)x(x+1)(x+2)(x+3)=24
3)\(\dfrac{x-1}{13}-\dfrac{2x-13}{15}=\dfrac{3x-15}{27}-\dfrac{4x-27}{29}\)
4)\(\dfrac{1909-x}{91}+\dfrac{1907-x}{93}+\dfrac{1905-x}{95}+\dfrac{1903-x}{91}+4=0\)
1) PT \(\Leftrightarrow\left(\dfrac{x+1}{35}+1\right)+\left(\dfrac{x+3}{33}+1\right)=\left(\dfrac{x+5}{31}+1\right)+\left(\dfrac{x+7}{29}+1\right)\)
\(\Leftrightarrow\dfrac{x+36}{35}+\dfrac{x+36}{33}=\dfrac{x+36}{31}+\dfrac{x+36}{29}\)
\(\Leftrightarrow\left(x+36\right)\left(\dfrac{1}{29}+\dfrac{1}{31}-\dfrac{1}{33}-\dfrac{1}{35}\right)=0\)
\(\Leftrightarrow x+36=0\) (Do \(\dfrac{1}{29}+\dfrac{1}{31}-\dfrac{1}{33}-\dfrac{1}{35}>0\))
\(\Leftrightarrow x=-36\).
Vậy nghiệm của pt là x = -36.
2) x(x+1)(x+2)(x+3)= 24
⇔ x.(x+3) . (x+2).(x+1) = 24
⇔(\(x^2\) + 3x) . (\(x^2\) + 3x + 2) = 24
Đặt \(x^2\)+ 3x = b
⇒ b . (b+2)= 24
Hay: \(b^2\) +2b = 24
⇔\(b^2\) + 2b + 1 = 25
⇔\(\left(b+1\right)^2\)= 25
+ Xét b+1 = 5 ⇒ b=4 ⇒ \(x^2\)+ 3x = 4 ⇒ \(x^2\)+4x-x-4=0 ⇒x(x+4)-(x+4)=0
⇒(x-1)(x+4)=0⇒x=1 và x=-4
+ Xét b+1 = -5 ⇒ b=-6 ⇒ \(x^2\)+3x=-6 ⇒\(x^2\) + 3x + 6=0
⇒\(x^2\) + 2.x.\(\dfrac{3}{2}\) + (\(\dfrac{3}{2}\))2 = - \(\dfrac{15}{4}\) Hay ( \(x^2\) +\(\dfrac{3}{2}\) )2= -\(\dfrac{15}{4}\) (vô lí)
⇒x= 1 và x= 4
tim x
x=31-30+29-28+27-............1
ghi rõ đề please
cách giải như sau:31-30=1,29-28=1.Chúng ta sẽ chia ra các cặp như sau:31,29,27,25,23,21,19,17,15,13,11,9,7,5,3,1 và mỗi cặp tương ứng là 1.Chúng ta có 16 cặp là 16 cộng thêm 1 nữa là 17.Đáp số:17
cau 1.tim x
a)15-|x-4|=6
b)-30+|25-x|=-1
c)x-(12-25)=-8
d) (x-29)-(17-38)=-9
cau 2.tim so nguyen x
a,22-(-x)=12
b,(x+5)+(x-9)=x+2
c,(27-x)+(15+x)=x-24
1, 7x+6(3-x)=27-20+73
2,6x-5(x-7)=(27-514)-486-73)
3,2x-6=3(x-5)+25+27-15-17
4, 4(x-5)-3(x+5)=2579-2578
5,/x-5/-7(x+4)=5-7x
6,3/x+4/-2(x-1)=7-2x
7, 2/x-6/+7x-2=/x-6/+7x
8,/x+8/+5(x-2)=5x-10:2
9, /x+2/-6(x-4)=20-6x
1: Ta có: 7x+6(3-x)=27-20+73
\(\Leftrightarrow7x+18-6x=80\)
\(\Leftrightarrow x=80-18=62\)
Vậy: x=62
2: Ta có: \(6x-5\left(x-7\right)=\left(27-514\right)-486-73\)
\(\Leftrightarrow6x-5x+35=27-514-486-73\)
\(\Leftrightarrow x+35=-1046\)
\(\Leftrightarrow x=-1081\)
Vậy: x=-1081
TIM x THUOC Z , BIET :
a) / 2x + 1 / = 7
b) 3/x + 1 / + 1 = 27
c) 20 = 20 + 19 + 18 + 17 + ..... + x
d) x + ( x+ 1 ) + ( x + 2 + ...... + 29 + 30 = 30
a) / 2x + 1 / = 7
=>2x+1 thuộc {-7;7}
+)2x+1=7=>2x=6=>x=3
+)2x+1=-7=>2x=-8=>x=-4
vậy x thuộc {3;-4}
b) 3/x + 1 / + 1 = 27
=>3/x+1/=27-1=26
=>/x+1/=26:3=26/3
=>x+1 thuộc {-26/3; 26/3}
+)x+1=26/3=>x=26/3 - 1 = 23/3
+)x+1=-26/3=>x=-26/3 - 1=-29/3
vậy x thuộc {-29/3; 23/3}
ai giải cụ thể giùm em với
Giải phương trình sau
a) x-5/100+x-4/101+x-3/102=x-100/5+x-101/4+x-102/3
b) 29-x/21+27-x/23+25-x/25+23-x/27+21-x/29=-5
ai giải cụ thể giùm em với
Giải phương trình sau
a) x-5/100+x-4/101+x-3/102=x-100/5+x-101/4+x-102/3
b) 29-x/21+27-x/23+25-x/25+23-x/27+21-x/29=-5
a, <=> (x-5/100) -1 +(x-4/101) -1 +(x-3/102) -1= (x-100/5) -1+(x-101/4) -1 +(x-102/3) -1
<=> (x-105)(1/100 +1/101 +1/102)= (x-105)(1/5+1/4+1/3)
<=> (x-105)(1/100+1/101+1/102-1/5-1/4-1/3)=0
vì 1/100+1/101+1/102-1/5-1/4-1/3 khác 0 <=> x-105=0
<=> x=105
b, 29-x/21 +1+27-x/23 +1+25-x/25 +1+23-x/27 +1+21-x/29 +1=0
<=> 50-x/21 +50-x/23 +50-x/25 +50-x/27 +50-x/29=0
<=> (50-x)(1/21 +1/23 +1/25 +1/27 +1/29)=0
vì 1/21+1/23+1/25+1/27+1/29 lớn hơn 0
nên 50-x=0
<=> x=50