İ ) 5x +3x =36:33 . 4+12
Tìm x biết :
a, 4.(18 - 5x) - 12.(3x - 7) = 15.(2x - 16) - 6(x + 14)
b, 5.(3x + 5) - 4.(2x - 3) = 5x + 3.(2x + 12) + 1
c, 2.(5x - 8) - 3.(4x - 5) = 4.(3x - 4) + 11
d, (3x + 2)(2x + 9) - (x + 2)(6x + 1) = (x + 1) - (x - 6)
e, (8x - 3)(3x + 2) - (4x + 7)(x + 4)= (2x + 1)(5x - 1) - 33
Noob ơi, bạn phải đưa vào máy tính ý solve cái là ra x luôn, chỉ tội là đợi hơi lâu
a, 4.(18 - 5x) - 12(3x - 7) = 15(2x - 16) - 6(x + 14)
=> 72 - 20x - 36x + 84 = 30x - 240 - 6x - 84
=> (72 + 84) + (-20x - 36x) = (30x - 6x) + (-240 - 84)
=> 156 - 56x = 24x - 324
=> 24x + 56x = 324 + 156
=> 80x = 480
=> x = 480 : 80 = 6
Vậy x = 6
b, 5(3x + 5) - 4(2x - 3) = 5x + 3(2x + 12) + 1
=> 15x + 25 - 8x + 12 = 5x + 6x + 36 + 1
=> (15x - 8x) + (25 + 12) = 11x + 37
=> 7x + 37 = 11x + 37
=> 11x - 7x = 0
=> x = 0
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
2A(x)-B(x)=2.(-3x^4 + 3x^3 + 7x^2 -6x -2) -(-5x^4 + 2x^3 -x^2 + 7)
\(2A\left(x\right)-B\left(x\right)=2\left(-3x^4+3x^3+7x^2-6x-2\right)-\left(-5x^4+2x^3-x^2+7\right)\)
\(=-6x^4+6x^3+14x^2-12x-4+5x^4-2x^3+x^2-7\)
\(\Rightarrow2A\left(x\right)-B\left(x\right)=-x^4+4x^3+15x^2-12x-11\)
a. 219 - 7(x + 1) = 100 b. ( 3x - 6).3 = 36 c. 716 - (x - 143) = 659
d. 30 - [4(x - 2) + 15] = 3 e. [(8x - 12) : 4].33 = 36
a.219 - 7(x+1) = 100
7(x+1) = 219 - 100
7(x+1) = 119
x + 1 = 119 : 7
x + 1 = 17
x = 17 - 1
x = 16
b. (3x - 6 ) . 3 = 36
3x - 6 = 36 : 3
3x - 6 = 12
3x = 12 + 6
3x = 18
x = 18 : 3
x = 6
c.716 - ( x-143) = 659
x-143 = 716 - 659
x-143 = 57
x = 57 + 143
x = 200
b. 30 - [4(x-2)+15] = 3
4(x-2) + 15 = 30 - 3
4(x-2)+15 = 27
4(x-2) = 27 - 15
4(x-2) = 12
x-2 = 12 : 4
x-2 = 3
x = 2 + 3 = 5
e.[(8x - 12) : 4] .33 = 36
[(8x - 12) : 4] . 27 = 729
(8x - 12) : 4 = 729 : 27 = 27
8x - 12 = 27 . 4 = 108
8x = 108 + 12 = 120
x = 120 : 8 = 15
a) \(\Leftrightarrow7\left(x+1\right)=119\\ \Leftrightarrow x+1=17\\ \Leftrightarrow x=16\)
b) \(\Leftrightarrow9\left(x-2\right)=36\\ \Leftrightarrow x-2=4\\ \Leftrightarrow x=6\)
c) \(\Leftrightarrow x-143=57\\ \Leftrightarrow x=200\)
d) \(\Leftrightarrow4\left(x-2\right)+15=27\\ \Leftrightarrow4\left(x-2\right)=12\\ \Leftrightarrow x-2=3\\ \Leftrightarrow x=5\)
e) \(\Leftrightarrow\left(2x-3\right).4:4=3^3\\ \Leftrightarrow2x-3=27\\ \Leftrightarrow2x=24\\ \Leftrightarrow x=12\)
a. 219 - 7(x + 1) = 100 b. ( 3x - 6).3 = 36 c. 716 - (x - 143) = 659
7(x+1)=119 3x-6=12 716-x+143=659
x+1=17 3x=18 859-x=659
x=16 x=6 x=200
d. 30 - [4(x - 2) + 15] = 3 e. [(8x - 12) : 4].33 = 36
4(x-2)+15=27 (8x-12):4=27
4(x-2)=12 8x-12=6,75
x-2=3 8x=18,75
x=5 x=\(\dfrac{75}{32}\)
Cách hiểu 1:[TEX]\frac{44-x}{3}[/TEX]=[TEX]\frac{x-12}{5}[/TEX]
[TEX]\frac{220-5x}{15}[/TEX]=[TEX]\frac{3x-36}{15}[/TEX]
hay 220-5x=3x-36
=220-5x-3x+36=0
=220+36-5x-3x=0
=256-(5x+3x)=0
=256-8x=0
=8x=256
=x=32
18- 4x = -20-6x
h)-15 x 24 = - 7x +32
i) 15x- 3(4x - 6) = - 12+ 36
k) -10 x - 27 = - 7x +33
m) -17 x - 24 = - 9x - 40
n) -23 x 25 = - 18x +75
p) - 5x+ 7( 2x-3) = 4( x - 4)
q)24- 6(3x + 1) = -5( 4x- 4 ) - 8
r) 18-4. (6-2x) = -3.(4x +5 ) - 11
Jup mik pls
18 - 4\(x\) = -20 - 6\(x\)
-4\(x\) + 6\(x\) = - 20 - 18
2\(x\) = - 38
\(x\) = - 19
h, -15 \(\times\) 24 = -7\(x\) + 32
7\(x\) = 360 + 32
7\(x\) = 392
\(x\) = 392:7
\(x\) = 56
i, 15\(x\) -3.(4\(x\) - 6) = -12 + 36
15\(x\) - 12\(x\) + 18 = 24
3\(x\) = 24 - 18
3\(x\) = 6
\(x\) = 2
k, -10\(x\) - 27 = -7\(x\) + 33
-27 - 33 = -7\(x\) + 10\(x\)
3\(x\) = -60
\(x\) = -20
m, -17\(x\) - 24 = - 9\(x\) - 40
- 24 + 40 = -9\(x\) + 17\(x\)
8\(x\) = 16
\(x\) = 2
n, -23 \(\times\) 25 = -18\(x\) + 75
-575 = -18\(x\) + 75
18\(x\) = 575 + 75
18\(x\) = 650
\(x\) = \(\dfrac{325}{9}\)
a) Ta có: \(\frac{x-17}{33}+\frac{x-21}{29}+\frac{x}{25}=4\)
\(\Leftrightarrow\frac{x-17}{33}-1+\frac{x-21}{29}-1+\frac{x}{25}-2=0\)
\(\Leftrightarrow\frac{x-17-33}{33}+\frac{x-21-29}{29}+\frac{x-2\cdot25}{25}=0\)
\(\Leftrightarrow\frac{x-50}{33}+\frac{x-50}{29}+\frac{x-50}{25}=0\)
\(\Leftrightarrow\left(x-50\right)\left(\frac{1}{33}+\frac{1}{29}+\frac{1}{25}\right)=0\)
Vì \(\frac{1}{33}+\frac{1}{29}+\frac{1}{25}>0\)
nên x-50=0
hay x=50
Vậy: x=50
b) Ta có: \(\left(3x-5\right)\left(7-5x\right)+\left(5x+2\right)\left(3x-2\right)=2\)
\(\Leftrightarrow-15x^2+46x-35+15x^2-4x-4-2=0\)
\(\Leftrightarrow42x-41=0\)
\(\Leftrightarrow42x=41\)
hay \(x=\frac{41}{42}\)
a, \(\frac{x-17}{33}+\frac{x-21}{29}+\frac{x}{25}=4\)
\(\Leftrightarrow\left(\frac{x-17}{33}-1\right)+\left(\frac{x-21}{29}-1\right)+\left(\frac{x}{25}-2\right)=4-4\)
\(\Leftrightarrow\left(\frac{x-17-33}{33}\right)+\left(\frac{x-21-29}{29}\right)+\left(\frac{x-2.25}{25}\right)=0\)
\(\Leftrightarrow\frac{x-50}{33}+\frac{x-50}{29}+\frac{x-50}{25}=0\)
\(\Leftrightarrow\left(x-50\right)\left(\frac{1}{33}+\frac{1}{29}+\frac{1}{25}\right)=0\) (*)
Vì \(\frac{1}{33}+\frac{1}{29}+\frac{1}{25}>0\Rightarrow\) Phương trình (*) xảy ra khi: \(x-50=0\Leftrightarrow x=50\)
Vậy phương trình có nghiệm duy nhất là x = 50.
(x+15):3=7 4.(6-x) = 280 : 36 5x-3x-12=8 ai giúp mình vs ạ
\(\left(x+15\right):3=7\)
\(x+15=7.3\)
\(x+15=21\)
\(x=21-15\)
\(x=6\)
----------------------------------
\(4.\left(6-x\right)=280:36\)
\(4.\left(6-x\right)=\dfrac{70}{9}\)
\(6-x=\dfrac{70}{9}:4\)
\(6-x=\dfrac{35}{18}\)
\(x=6-\dfrac{35}{18}\)
\(x=\dfrac{73}{18}\)
----------------------------------
\(5x-3x-12=8\)
\(2x=8+12\)
\(2x=20\)
\(x=\dfrac{20}{2}\)
\(x=10\)
\(\left(x+15\right):3=7\\ \Rightarrow x+15=7.3=21\\ \Rightarrow x=21-15=6\)
\(4\left(6-x\right)=280:36\\ \Rightarrow4\left(6-x\right)=\dfrac{70}{9}\\ \Rightarrow6-x=\dfrac{70}{9}:4\\ \Rightarrow6-x=\dfrac{35}{18}\\ \Rightarrow x=6-\dfrac{35}{18}=\dfrac{73}{18}\)
\(5x-3x-12=8\\ \Rightarrow2x=8+12=20\\ \Rightarrow x=\dfrac{20}{2}=10\)
3x - 36=12 . 75 + 25 .12
x:2-12=33 . 40 + 33 . 59 +33
(x-4) . (9-x) = 0
(x-6) . (2020-x)=0
x . (6-x) =0
(x-3-12) . (20-x)=0
Giúp em vs ạ em cảm ơn(◕ᴗ◕✿)
1. 3x - 36 = 12 . 75 + 25 . 12
3x - 36 = 12 . (75+25)
3x - 36 = 12 . 100
3x - 36 = 1200
3x = 1200 + 36
3x = 1236
=> x = 1236 : 3 = 412
câu 1 thôi nhá bạn
3x - 36 = 12 . 75 + 25 . 12
3x - 36 = 12 . (75 + 25)
3x - 36 = 1200
3x = 1164
x = 388
x : 2 - 12 = 33 . 40 + 33 . 59 + 33
x : 2 - 12 = 33 . 40 + 33 . 59 + 33 . 1
x : 2 - 12 = (40 + 59 + 1)
x : 2 - 12 = 3300
x : 2 = 3288
x = 1644
(x - 4) . (9 - x) = 0
Thỏa mãn điều kiện\(\hept{\begin{cases}x=4\\x=9\end{cases}}\)
(x - 6) . (2020 - x) = 0
Thỏa mãn điều kiện\(\hept{\begin{cases}x=6\\x=2020\end{cases}}\)
x . (6 - x) = 0
Thỏa mãn điều kiện 6 - x = 0
x = 6
(x - 3 - 12) . (20 - x) = 0
Thỏa mãn điều kiện \(x\le20\); 20 - x = 0
x = 20
bài 1: a)x2+7x+12=0 b)2x2+5x-3=0
c)3x2+10x+7=0 d)x4+5x2-36=0
bài 2: a)y(x-2)+3x-6=2 b)xy+x+y+3=0
c)xy+3x-2y-7=0 d)xy-x+5y-7=0
Bài 1.
a) x2 + 7x +12 = 0
Ta có Δ = 72 - 4.12 = 1> 0 => \(\sqrt{\Delta}=\sqrt{1}=1\)
Phương trình có 2 nghiệm phân biệt:
x1 = \(\frac{-7+1}{2}=-3\)
x2= \(\frac{-7-1}{2}=-4\)
Bài 1
b) 2x2 + 5x - 3=0
Ta có: Δ = 52 + 4.2.3 = 49 > 0 => \(\sqrt{\Delta}=\sqrt{49}=7\)
Phương tình có 2 nghiệm phân biệt:
x1 = \(\frac{-5+7}{2.2}=\frac{1}{2}\)
x2 = \(\frac{-5-7}{2.2}-3\)
c) 3x2 +10x+7 = 0
Ta có: Δ = 102 - 4.3.7= 16> 0 => \(\sqrt{\Delta}=\sqrt{16}=4\)
Phương tình có 2 nghiệm phân biệt:
x1= \(\frac{-10+4}{2.3}=-1\)
x2= \(\frac{-10-4}{2.3}=-\frac{7}{3}\)
Bài 1
d)x4+5x2-36=0
Đặt x2 = t ( đk: t ≥0)
=> t2 +5t - 36 =0
Ta có: Δ = 52 + 4.36 = 169 > 0 => \(\sqrt{\Delta}=\sqrt{169}=13\)
Phương tình có 2 nghiệm phân biệt:
t1 = \(\frac{-5-13}{2}=-9\) (loại)
t2 = \(\frac{-5+13}{2}=4\) (thỏa mãn)
Với t = 4 ta có:
x2 = 4
\(\left[{}\begin{matrix}x=2\\x=-2\end{matrix}\right.\)