1+2+3+4+...+x=240
1) 2³ .x -5² x = 2( 5² + 2² ) -33. 2) 15÷ ( x +2) = (3³ +3) ÷1
3) 20÷ (x +1) = (5² +1 ) ÷13. 4) 320÷ ( x -1 ) = (5³ - 5² ) ÷4 +15
5) 240 ÷ ( x -5 ) = 2² .5² -20. 6) 70 ÷ ( x -3) = ( 3⁴ -1) ÷ 4 - 10
Giúp mình với mình Tối nay mình đi học rồi
1) \(2^3\times x-5^2\times x=2\times\left(5^2+2^2\right)-33\)
\(x\times\left(2^3-5^2\right)=2\times\left(25+4\right)-33\)
\(x\times\left(8-25\right)=2\times29-33\)
\(x\times-17=25\)
\(x=-\dfrac{25}{17}\)
2) \(15\div\left(x+2\right)=\left(3^3+3\right)\div1\)
\(15\div\left(x+2\right)=\left(27+3\right)\div1\)
\(15\div\left(x+2\right)=30\div1\)
\(15\div\left(x+2\right)=30\)
\(x+2=\dfrac{1}{2}\)
\(x=-\dfrac{3}{2}\)
3) \(20\div\left(x+1\right)=\left(5^2+1\right)\div13\)
\(20\div\left(x+1\right)=\left(25+1\right)\div13\)
\(20\div\left(x+1\right)=26\div13\)
\(20\div\left(x+1\right)=2\)
\(x+1=20\div2\)
\(x+1=10\)
\(x=9\)
4) \(320\div\left(x-1\right)=\left(5^3-5^2\right)\div4+15\)
\(320\div\left(x-1\right)=\left(125-25\right)\div4+15\)
\(320\div\left(x-1\right)=100\div4+15\)
\(320\div\left(x-1\right)=25+15\)
\(320\div\left(x-1\right)=40\)
\(x-1=8\)
\(x=9\)
5) \(240\div\left(x-5\right)=2^2\times5^2-20\)
\(240\div\left(x-5\right)=4\times25-20\)
\(240\div\left(x-5\right)=100-20\)
\(240\div\left(x-5\right)=80\)
\(x-5=30\)
\(x=35\)
6) \(70\div\left(x-3\right)=\left(3^4-1\right)\div4-10\)
\(70\div\left(x-3\right)=\left(81-1\right)\div4-10\)
\(70\div\left(x-3\right)=80\div4-10\)
\(70\div\left(x-3\right)=20-10\)
\(70\div\left(x-3\right)=10\)
\(x-3=7\)
\(x=10\)
1 Tim x biet:
a, 2+4+6+.....+ x =240
b,1+2+3+......+x=306
a) 2 + 4 + 6 + ... + x = 240
số số hạng : ( x - 2 ) : 2 + 1 = x : 2 ( số )
tổng : ( x + 2 ) . x : 2 = 240
( x + 2 ) . x = 240 x 2
( x + 2 ) . x = 480
Mà .... ( đề sai )
b) 1 + 2 + 3 + ... + x = 306
số số hạng : ( x - 1 ) : 1 + 1 = x ( số )
tổng : ( x + 1 ) . x : 2 = 306
( x + 1 ) . x = 306 . 2
( x + 1 ) . x = 612
Mà .... ( đề sai )
Ban kia lam dung roi do
k tui nha
thanks
a) 1 + 2 + 3 + 4 + . . . + x = 2550
b)1 + 3 + 5 + 7 + . . . + x = 4900 ( x là số lẻ )
c) 2 + 4 + 6 + . . . + x = 240 (x là số chắn )
(x*1)+(x*2)+(x*3)+(x*4)+(x*5)+(x*6)+(x*7)+(x*8)+(x*9)+(x*10)=240
\(\left(x\times1\right)+\left(x\times2\right)+\left(x\times3\right)+....+\left(x\times10\right)=240\)
\(\left(x\times x\times x\times....\times x\right)\times\left(1+2+3+...+10\right)=240\)
\(1x\times\frac{\left(10+1\right).10}{2}=240\)
\(1x\times55=240\)
\(1x=240\div55\)
\(1x=\frac{48}{11}\)
\(\Rightarrow x=\frac{48}{11}\)
Tìm x biết:
1. x.34 - x.10 = 240
2. 4x+1 = 16
3. (x+1)3 = 27
\(1,x.34-x.10=240\)
\(\Rightarrow x.\left(34-10\right)=240\)
\(\Rightarrow x.24=240\)
\(\Rightarrow x=240:24=10\)
\(2,4^{x+1}=16\)
\(\Rightarrow4^{x+1}=4^2\)
\(\Rightarrow x+1=2\Rightarrow x=1\)
\(3,\left(x+1\right)^3=27=3^3\)
\(\Rightarrow x+1=3\Rightarrow x=2\)
5 9/10 :3/2 -(2 1/3*4 1/2 - 2* 2 1/3:7/4
(1- 1/2)*(1-1/3)*(1-1/4)*........*(1-1/100
Tìm x
(x +1)+ (x +2)+(x +3)+...+(x -20)=240
giúp mình với gấp lắm thầy thu bài lúc 5 giờ chiều nay rồi có 1 tiếng nữa thôi
Ta có : \(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right).......\left(1-\frac{1}{100}\right)\)
\(=\frac{1}{2}\frac{2}{3}.\frac{3}{4}.......\frac{99}{100}\)
\(=\frac{1}{100}\)
tính nhanh
1 ) 240 x 15 - 80 x 6 x 3 - 60 x 4
2 ) 150 x 5 x 3 x 6 - 15 x 11
1)240x15-80x6x3-60x4
=240x15-80x3x6-240x1
=240x15-240x6-240x1
=240x(15-6-1)
=240x8
=1920
2)150x5x3x6-15x11
150x5x6x3-15x10-150x0,2
=150x5x6x3-150x1-150x0,2
=150x(5+6+3-1-0,2)
=150x12,8
=1980
tìm x
x-8:4-(46-23.2+6.3)=0
240-[23+(13+24.3-x)]=132
(19x+2.5^2):14=(13-8)^2-4^2
(x+3)+3(x+1)=39
240-[23+(13+24.3-x)]=132
240-[23+(13+168-x)]=132
240-[23+(181-x)]=132
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x-8:4-(46-23.2+6.3)=0
\(x-8:4-\left(46-23.2+6.3\right)=0\)
\(x-2-\left(46-46+18\right)=0\)
\(x-2-18=0\)
\(x-2=0+18\)
\(x-2=18\)
\(x=18+2\)
\(x=20\)
\(240-\left[23+\left(13+24.3-x\right)\right]=132\)
\(240\left[23+\left(13+82-x\right)\right]=132\)
\(23+\left(95-x\right)=132:240\)
\(23+\left(95-x\right)=\frac{132}{240}=\frac{11}{30}\)
\(23+\left(95-x\right)=\frac{11}{30}\)
\(95-x=\frac{11}{30}-23\)
\(95-x=\frac{11}{30}-\frac{690}{30}\)
\(95-x=-\frac{679}{30}\)
\(x=95+\frac{679}{30}\)
\(x=\frac{2850}{30}+\frac{679}{30}\)
\(x=\frac{3529}{30}=\)tự rút gọn ( nếu có thể )
\(\left\{{}\begin{matrix}x^4-y^4=240\\x^3-2y^3=3\left(x^2-4y^2\right)-4\left(x-8y\right)\end{matrix}\right.\)
Bài này số to, mũ to nên UCT khá mệt:
Lấy pt (1) - 8 lần pt (2) ta được:
\(\left(x-2\right)^4=\left(y-4\right)^4\Rightarrow\left[{}\begin{matrix}y=x+2\\y=6-x\end{matrix}\right.\)