1/3: (2x-1)=-4/24
2^x+1 : 4=32
3^x-2:3=243
256:4^x+1=4^2
4^2x-1:4=4^4
5^x-1:5=5^3
3^2x+1:3=3^4
\(2^x:4=32\\ \Rightarrow2^x=128\\ \Rightarrow2^x=2^7\\ \Rightarrow x=7\)
\(3^{x-2}:3=243\\ \Rightarrow3^{x-2}=729\\ \Rightarrow3^{x-2}=3^6\\ \Rightarrow x-2=6\\ \Rightarrow x=8\)
\(256:4^{x+1}=4^2\\ \Rightarrow4^{x+1}=4^2\\ \Rightarrow x+1=2\\ \Rightarrow x=1\)
\(4^{2x-1}:4=4^4\\ \Rightarrow4^{2x-1}=4^5\\ \Rightarrow2x-1=5\\ \Rightarrow x=3\)
\(5^{x-1}:5=5^3\\ \Rightarrow5^{x-1}=5^4\\ \Rightarrow x-1=4\\ \Rightarrow x=5\)
\(3^{2x+1}:3=3^4\\ \Rightarrow3^{2x+1}=3^5\\ \Rightarrow2x+1=5\\ \Rightarrow x=3\)
Bài 1: Tìm x là STN biết:
1/ 5x - 2 - 32 = 24 - ( 68 : 66 - 62)
2/ 3x + 42 = 196 : (193 x 192) - 3.12014
3/ 2x + 2x + 4 = 272
4/ 3 + 2x - 1 = 24 - \([4^2-(2^2-1)]\)
1: =>\(5^{x-2}-9=2^4-\left(6^2-6^2\right)\)
=>\(5^{x-2}=16+9=25\)
=>x-2=2
=>x=4
2: \(\Leftrightarrow3^x+16=19^6:19^5-3=19-3=16\)
=>3^x=0
=>x=0
3: \(\Leftrightarrow2^x+2^x\cdot16=272\)
=>2^x*17=272
=>2^x=16
=>x=4
4: \(\Leftrightarrow2^{x-1}+3=24-\left(4^2-2^2+1\right)=24-\left(16-4+1\right)\)
=>\(2^{x-1}+3=24-16+4-1=8+4-1=12-1=11\)
=>2^x-1=8
=>x-1=3
=>x=4
Rút gọn :
1. (2x-5)(3x+1)-(x-3)^2+(2x+5)^2-(3x+1)^3
2. (2x-1)(2x+1)-3x-2)(2x+3)-(x-1)^3+(2x+3)^3
3. (x-2)(x^2+2x+4)-(3x-2)^3+(3x-4)^2
4. (7x-1)(8x+2)-(2x-7)^2-(x-4)^3-(3x+1)^3
5. (5x-1)(5x+1)-(x+3)(x^2-3x+9)-(2x+4)^2-(3x-4)^2+(2x-5)^3
6. (4x-1)(x+2)-(2x+5)^2-(3x-7)^2+(2x+3)^3=(3x-1)^3
1: \(=6x^2+2x-15x-5-x^2+6x-9+4x^2+20x+25-27x^3-27x^2-9x-1\)
=-27x^3-18x^2+4x+10
2: =4x^2-1-6x^2-9x+4x+6-x^3+3x^2-3x+1+8x^3+36x^2+54x+27
=7x^3+37x^2+46x+33
5:
\(=25x^2-1-x^3-27-4x^2-16x-16-9x^2+24x-16+\left(2x-5\right)^3\)
\(=8x^3-60x^2+150-125+12x^2-x^3+8x-60\)
=7x^3-48x^2+8x-35
1) 2x – (3 – 5x) = 4( x +3)
2) 5(2x-3) - 4(5x-7) =19 - 2(x+11)
3) 5x - 4(6-x)(x + 3) = (4-2x)(3-2x) + 2
4) (x - 1)3 - (3x + 2)(-12) = (x2 + 1)(x - 2) - x2
5) (3x -1)2 - (x +3)(2x-1) = 7(x + 1)(x -2) -3x
mn giúp mình vs
1) 2x – (3 – 5x) = 4( x +3)
<=>2x-3+5x=4x+12
<=>2x-3+5x-4x-12=0
<=>3x-15=0
<=>x=5
2) 5(2x-3) - 4(5x-7) =19 - 2(x+11)
<=>10x-15-20x+28=19-2x-22
<=>10x-15-20x+28-19+2x+22=0
<=>-8x+16=0
<=>x=2
tham khảo
1) 2x – (3 – 5x) = 4( x +3)
<=>2x-3+5x=4x+12
<=>2x-3+5x-4x-12=0
<=>3x-15=0
<=>x=5
2) 5(2x-3) - 4(5x-7) =19 - 2(x+11)
<=>10x-15-20x+28=19-2x-22
<=>10x-15-20x+28-19+2x+22=0
<=>-8x+16=0
<=>x=2
Tìm x, biết: 1/3 : (2x - 1) = -4/24
`1/3 : (2x - 1) = (-4/24)`
`2x - 1 = 1/3 : (-4/24)`
`2x - 1 = -2`
`2x = (-2) + 1`
`2x = (-1)`
`x = 2 : (-1)`
`x = -2`
\(\dfrac{1}{3}:\left(2x-1\right)=\dfrac{-4}{24}\)
\(2x-1=\dfrac{1}{3}:\left(\dfrac{-4}{24}\right)\)
\(2x-1=-2\)
\(2x=\left(-2\right)+1\)
\(2x=-1\)
\(x=2:\left(-1\right)\)
\(x=-2\)
vậy x =...
thực hiện phép tính
1)2x^2(-3x^2+2x-1)
2)(x-3)(x+7)-(x+5)(x-1)
3)-2x(-3x+2)-(x+2)^2
4)(2x-3)(x^2-2x-4)
1) \(-6x^4+4x^3-2x^2\)
2) \(=x^2+4x-21-x^2-4x+5=-16\)
3) \(=6x^2-4x-x^2-4x-4=5x^2-8x-4\)
4) \(=2x^3-4x^2-8x-3x^2+6x+12=2x^3-7x^2-2x+12\)
3.(2x-3).(1+x)-2.(3x-1).(x+4)=24
\(3.\left(2x-3\right).\left(1+x\right)-2.\left(3x-1\right).\left(x+4\right)=24\)
\(\Leftrightarrow6x+6x^2-9-9x-6x^2-24x+2x+8=24\)
\(\Leftrightarrow-25x-1=24\)
\(\Leftrightarrow-25x=25\)
\(\Leftrightarrow x=-1\)
Vậy \(x=-1\) ( làm hơi tắt xíu nha !! )
1) Tìm x biết:
a)-(2x-16)-(x-8)=24
b)-3.(-x-4)-x=42-24
c)|2x-4|-16=-8
3/4.[2x-5]+1/6=5/24
=???
\(\dfrac{3}{4}\left(2x-5\right)+\dfrac{1}{6}=\dfrac{5}{24}\\ \Rightarrow\dfrac{3}{4}\left(2x-5\right)=\dfrac{1}{24}\\ \Rightarrow2x-5=\dfrac{1}{18}\\ \Rightarrow2x=\dfrac{91}{18}\\ \Rightarrow x=\dfrac{91}{36}\)