Tìm X, biết:
1+2+3+...+x=1275
2+4+6+...+2
Bài 1 : Tìm x ,y,z biết:
a, 3/x-1 = 4/y-2 = 5/z-3 và x+y+z = 18
b, 3/x-1 = 4/y-2 = 5/z-3 và x.y.z = 192
Bài 2 : Tìm x,y,z biết : x^3+y^3/6 = x^3-2y^3/4 và x^6.y^6 = 64
Bài 3 : Tìm x,y,z biết :x+4/6 = 3y-1/8 = 3y-x-5/x
Bài 4 :Tìm x,y,z biết : x+y+2005/z = y+z-2006 = z+x+1/y = 2/x+y+z
bài 1 : a,ta có 3/x-1 =4/y-2=5/z-3 => x-1/3=y-2/4=z-3/5
áp dụng .... => x-1+y-2+z-3 / 3+4+5 = x+y+z-1-2-3/3+4+5 = 12/12=1
do x-1/3 = 1 => x-1 = 3 => x= 4 ( tìm y,z tương tự
Bài 1:
a) Ta có: 3/x - 1 = 4/y - 2 = 5/z - 3 => x - 1/3 = y - 2/4 = z - 3/5 áp dụng ... =>x - 1 + y - 2 + z - 3/3 + 4 + 5 = x + y + z - 1 - 2 - 3/3 + 4 + 5 = 12/12 = 1 do x - 1/3 = 1 => x - 1 = 3 => x = 4 ( tìm y, z tương tự )
Câu 3: Tìm x ∈ N, biết:
a) 3 x . 3 = 243 b) 2 x . 162 = 1024 c) 64.4x = 168 d) 2 x = 16Câu 4 : Tìm x, biết. a) 2 x .4 = 128 b) (2x + 1)3 = 125 c) 2x – 2 6 = 6 d) 49.7x = 24013:
a: 3^x*3=243
=>3^x=81
=>x=4
b; 2^x*16^2=1024
=>2^x=4
=>x=2
c: 64*4^x=16^8
=>4^x=4^16/4^3=4^13
=>x=13
d: 2^x=16
=>2^x=2^4
=>x=4
Tìm x biết :
x + 4/5 = 4/5 + ( 3/7 + 3/5 ) 5/7 + x/35 = 4/5
x < 3/4 + 2 2/3 + 1 < x < 5/6 + 4
x< 5/6 - 3/4 2/3 < x < 2 - 5/6
a: =>x=3/7+3/5=15/35+21/35=36/35
b: =>x/35=4/5-5/7=28/35-25/35=3/35
=>x=3
c: =>x<3/4+8/4=11/4
=>\(x\in\left\{0;1;2;3\right\}\)
d: =>5/3<x<5/6+24/6=29/6
=>\(x\in\left\{2;3;4\right\}\)
e: =>x<10/12-9/12=1/12
=>x=0
f: =>2/3<x<12/6-5/6=7/6
=>x=1
tìm x biết
1) x=-1/2 + 3/4 2) x - 1/5 = 2/11 3) x - 5/6 = 16/42 + -8/56
4) x/5 = 5/6 + -19/30 5) |x| - 1/4 = 6/18 6)x = -1/2 +3/4
7) x/15 = 3/5 + -2/3 8)11/8 + 13/6 = 85/x 9) x - 7/8 = 13/12
10) x - -6/15 = 4/27 11) -\(\dfrac{-6}{12}\)+ x = 9/48 12) x - 4/6 = 5/25 + -7/15
1: x=3/4-1/2=3/4-2/4=1/4
2: x-1/5=2/11
=>x=2/11+1/5=21/55
3: x-5/6=16/42-8/56
=>x-5/6=8/21-4/28=5/21
=>x=5/21+5/6=15/14
4: x/5=5/6-19/30
=>x/5=25/30-19/30=6/30=1/5
=>x=1
5: =>|x|=1/3+1/4=7/12
=>x=7/12 hoặc x=-7/12
6: x=-1/2+3/4
=>x=3/4-1/2=1/4
11: x-(-6/12)=9/48
=>x+1/2=3/16
=>x=3/16-1/2=-5/16
1)x= 1/4
2)x= 2/11+ 1/5
x= 21/55
3)x - 5/6 = 5/21
x = 5/21+5/6
x = 15/14
4)x/5 = 5/6 + -19/30
x:5 = 1/5
x = 1/5.5
x = 1
5) |x| - 1/4 = 6/18
|x| = 6/18 - 1/4
|x| =7/12
⇒x= 7/12 hoặc -7/12
6)x = -1/2 +3/4
x= 1/4
7) x/15 = 3/5 + -2/3
x:15 = -1/15
x = -1/15. 15
x = -1
8)11/8 + 13/6 = 85/x
85/24 = 85/x
⇒ x = 24
9) x - 7/8 = 13/12
x = 13/12 + 7/8
x = 47/24
10)x - -6/15 = 4/27
x = 4/27 + (-6/15)
x = -34/135
11) -(-6/12)+x = 9/48
x= 9/48 - 6/12
x = -5/16
12) x - 4/6 = 5/25 + -7/15
x -4/6 = -4/15
x = -4/15 + 4/6
x = 2/5
a) Ta có: \(x+\dfrac{1}{3}=\dfrac{2}{6}\)
\(\Leftrightarrow x+\dfrac{1}{3}=\dfrac{1}{3}\)
hay x=0
Vậy: x=0
b) Ta có: \(x-\dfrac{1}{4}=\dfrac{1}{-2}\)
\(\Leftrightarrow x-\dfrac{1}{4}=\dfrac{-1}{2}\)
\(\Leftrightarrow x=\dfrac{-1}{2}+\dfrac{1}{4}=\dfrac{-2}{4}+\dfrac{1}{4}=\dfrac{-1}{4}\)
Vậy: \(x=-\dfrac{1}{4}\)
c) Ta có: \(\dfrac{-1}{6}=\dfrac{3}{2}x\)
\(\Leftrightarrow x=\dfrac{-1}{6}:\dfrac{3}{2}=\dfrac{-1}{6}\cdot\dfrac{2}{3}\)
hay \(x=\dfrac{-1}{9}\)
Vậy: \(x=\dfrac{-1}{9}\)
\(a.x=\dfrac{1}{3}-\dfrac{1}{3}\)
\(x=0\)
\(b.x-\dfrac{1}{4}=\dfrac{-1}{2}\)
\(x=\dfrac{-1}{2}+\dfrac{1}{4}\)
\(x=\dfrac{-1}{4}\)
c. \(\dfrac{-1}{6}=\dfrac{3}{2x}\)
\(-2x=18\)
\(x=-9\)
d. \(\dfrac{4}{5}=\dfrac{-12}{9-x}\)
\(4.\left(9-x\right)=-60\)
\(9-x=-15\)
\(x=24\)
\(e.\dfrac{x+1}{3}=\dfrac{3}{x+1}\)
\(\left(x+1\right)^2=9\)
\(\left[{}\begin{matrix}x+1=-3\\x+1=3\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-4\\x=2\end{matrix}\right.\)
f.\(\dfrac{x-1}{-4}=\dfrac{-4}{x-1}\)
\(\left(x-1\right)^2=16\)
\(\left[{}\begin{matrix}x-1=4\\x-1=-4\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=5\\x=-3\end{matrix}\right.\)
tìm x, biết:
1, x+2/5=1/x-2
2, 3/x-4= x+4/3
3, x+2/x+6=3/x=1
1) Ta có\(\frac{x+2}{5}=\frac{1}{x-2}\)
=> (x + 2)(x - 2) = 5
=> x2 + 2x - 2x - 4 = 5
=> x2 - 4 = 5
=> x2 = 9
=> \(\orbr{\begin{cases}x=3\\x=-3\end{cases}}\)
2) \(\frac{3}{x-4}=\frac{x+4}{3}\)
=> (x - 4)(x + 4) = 9
=> x2 + 4x - 4x - 16 = 9
=> x2 - 16 = 9
=> x2 = 25
=> \(\orbr{\begin{cases}x=5\\x=-5\end{cases}}\)
a, \(\frac{x+2}{5}=\frac{1}{x-2}ĐK:x\ne2\)
\(\Leftrightarrow\frac{\left(x+2\right)\left(x-2\right)}{5\left(x-2\right)}=\frac{5}{5\left(x-2\right)}\Leftrightarrow\left(x+2\right)\left(x-2\right)=5\)
\(\Leftrightarrow x^2-2x+2x-4=5\Leftrightarrow x^2=9\Leftrightarrow x\pm3\)
b, \(\frac{3}{x-4}=\frac{x+4}{3}ĐK:x\ne4\)
\(\Leftrightarrow\frac{9}{\left(x-4\right)3}=\frac{\left(x+4\right)\left(x-4\right)}{3\left(x-4\right)}\Leftrightarrow9=x^2-4x+4x-16\)
\(\Leftrightarrow x^2-16=9\Leftrightarrow x^2=25\Leftrightarrow x=\pm5\)
c, \(\frac{x+2}{x+6}=\frac{3}{x}=1ĐK:x\ne0;-6\)
Xét : \(\frac{x+2}{x+6}=1\Leftrightarrow x+2=x+6\Leftrightarrow-4\ne0\)
Xét : \(\frac{3}{x}=1\Leftrightarrow3=x\)
Tìm x biết:
a) 6* 8^x-1 + 8^x+1 = 6* 8^19 + 8^21
b) 4* 3^x-1 + 2* 3^x+2 = 4* 3^6 +2* 3^9
a) \(6.8^{x-1}+8^{x+1}=6.8^{19}+8^{21}\)
\(\Rightarrow x-1+x+1=19+21\)
\(=2x=40\)
\(\Rightarrow x=20\)
b) \(4.3^{x-1}+2.3^{x+2}=4.3^6+2.3^9\)
\(\Rightarrow x-1+x+2=6+9\)
\(\Rightarrow2x+1=15\)
\(\Rightarrow2x=14\)
\(\Rightarrow x=7\)
tìm x biết x-1/7 + x-2/3 + x-3/5 + x-4/2 = 6
\(\dfrac{x-1}{7}+\dfrac{x-2}{3}+\dfrac{x-3}{5}+\dfrac{x-4}{2}=6\\ =>\left(\dfrac{x-1}{7}-1\right)+\left(\dfrac{x-2}{3}-2\right)+\left(\dfrac{x-3}{5}-1\right)+\left(\dfrac{x-4}{2}-2\right)=0\\ =>\dfrac{x-8}{7}+\dfrac{x-8}{3}+\dfrac{x-8}{5}+\dfrac{x-8}{2}=0\\ =>\left(x-8\right)\left(\dfrac{1}{7}+\dfrac{1}{3}+\dfrac{1}{5}+\dfrac{1}{2}\right)=0\\ =>x-8=0\\ =>x=8\)
giúp với ạ
cho đa thức :A(x)=x^4-4x^3+2x^2-5x+6.
a, tính giá trị đa thức A(x) biết |4x-1|=1 .
b, tìm đa thức B(x) biết : a(x) -b(x) = 3x^2-x-3x^3-x^2+x^4-2x^2+6 .
c, tìm nghiêm đa thức B(x)
6.Tìm x. biết: x-7/2 = -3/4
A.-43/20 B.43/20 C.13/20 D.-13/20
7. Tìm x, biết: 1/3+x=5/6
A.3/4 B.-3/4 C.1/2 D.1/6
8. Tìm số hữu ti x, biết: 1/4x:2/5=5/6
A.-4 B.4/3 C.-4/3 D.3/4
9. Đổi hỗn số sau thành phân số: 4 và 2/5
A.8/5 B.22/5 C.6/5 D.2/5
10. Rút gọn phân số sau về số tối giản:
-48/64
A. 3/4 B.4/3 C.-4/3 D.-3/4
Câu 6: Khôg có cau nào đúng
Câu 7: C
Câu 8: B
Câu 9: B
Câu 10: D