Tính:
5/7 x 3/4x 1/2
3/4 x 5/7x 14/15
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Bài 1:
a) \(-5\left(x^2-3x+1\right)+x\left(1+5x\right)=x-2\)
\(\Rightarrow-5x^2+15x-5+x+5x^2=x-2\)
\(\Rightarrow16x-5=x-2\)
\(\Rightarrow16x-x=5-2\)
\(\Rightarrow15x=3\)
\(\Rightarrow x=\dfrac{15}{3}=5\)
b) \(12x^2-4x\left(3x+5\right)=10x-17\)
\(\Rightarrow12x^2-12x^2-20x=10x-17\)
\(\Rightarrow-20x=10x-17\)
\(\Rightarrow-20x-10x=-17\)
\(\Rightarrow-30x=-17\)
\(\Rightarrow x=\dfrac{-30}{-17}=\dfrac{30}{17}\)
c) \(-4x\left(x-5\right)+7x\left(x-4\right)-3x^2=12\)
\(\Rightarrow-4x^2+20x+7x^2-28x-3x^2=12\)
\(\Rightarrow-8x=12\)
\(\Rightarrow x=\dfrac{12}{-8}=-\dfrac{4}{3}\)
Bài 2:
a) \(\left(x+5\right)\left(x-7\right)-7x\left(x-3\right)\)
\(=x^2-7x+5x-35-7x^2+21x\)
\(=-6x^2+19x-35\)
b) \(x\left(x^2-x-2\right)-\left(x-5\right)\left(x+1\right)\)
\(=x^3-x^2-2x-x^2+x-5x-5\)
\(=x^3-2x^2-6x-5\)
c) \(\left(x-5\right)\left(x-7\right)-\left(x+4\right)\left(x-3\right)\)
\(=x^2-7x-5x+35-x^2-3x+4x-12\)
\(=11x+23\)
d) \(\left(x-1\right)\left(x-2\right)-\left(x+5\right)\left(x+2\right)\)
\(=x^2-2x-x+2-x^2+2x+5x+10\)
\(=4x+12\)
a) -5 . (2 - x) + 4(x - 3) = 10x - 15
-10 + 5x + 4x -12 = 10x - 15
5x + 4x - 10x = -15 + 10 + 12
-x = 7
x = -7
b) 5 . (3 - 2x) + 5 . (x - 4) = 6 - 4x
15 - 10x + 5x - 20 = 6 - 4x
-10x + 5x + 4x = 6 - 15 + 20
-x = 11
x = -11
c) - 7 . (3x - 5) + 2 . (7x - 14) = 28
-21x + 35 + 14x - 28 = 28
-21x + 14x = 28 - 35 + 28
-7x = 21
x = 21 : (-7)
x = -3
d) 4 . (x - 5) - 3 . (x + 7) = 5 . (-4)
4x - 20 - 3x - 21 = -20
4x - 3x = -20 + 20 + 21
x = 21
e) 5 . (4 - x) - 7. (-x + 2) = 4 - 9 + 3
20 - 5x + 7x - 14 = -2
-5x + 7x = -2 - 20 + 14
2x = -8
x = -8 : 2
x = -4
Đúng 100%
câu c
- 7 ( 3x - 5 ) + 2 ( 7x - 14 ) = 28
- 21x + 35 + 14x - 28 = 28
21x - 14x = 35 - 28 - 28
7x = - 21
x = ( - 21) : 7
x = - 3
1/ Suy ra: -35 + 7x - 2x + 20 = 15
5x - 15 = 15
5x = 30
x = 6
2/ Suy ra: 4x - 20 - 3x - 21 = -19
x - 41 = -19
x = 22
3/ Suy ra: 8 - 4x + 3x - 15 = 14
-7 -x = 14
x = -7 -14
x = -21
4/ Suy ra: 7x - 63 - 30 + 5x = -6 + 11x
7x + 5x - 11x = -6 +63 + 30
x = 87
5/ Suy ra: -21x +35 + 14x - 28 = 28
-21x + 14x = 28 +28 - 35
-7x = 21
x= -3
6/ Suy ra: 20 - 5x + 7x - 14 = -2
2x = -8
x = -4
7/ Suy ra: 4x +15 -5x = 7
-x = -8
x = 8
8/ Suy ra: 5x - 35 +30 -10x = 20
-5x - 5 = 20
-5x = 25
x = -5
9/ Suy ra: 35 - 7x + 5x - 10 = 15
-7x + 5x = 15 +10 - 35
-2x = -10
x = 5
1: \(\dfrac{4}{23}+\dfrac{5}{21}+\dfrac{1}{2}-\dfrac{4}{23}+\dfrac{16}{21}\)
\(=1+\dfrac{1}{2}\)
\(=\dfrac{3}{2}\)
2: \(\left(\dfrac{1}{3}+\dfrac{12}{67}+\dfrac{13}{41}\right)-\left(\dfrac{79}{67}-\dfrac{28}{41}\right)\)
\(=\dfrac{1}{3}+\dfrac{12}{67}+\dfrac{13}{41}-\dfrac{79}{67}+\dfrac{28}{41}\)
\(=\dfrac{1}{3}\)
a: (3x-2)(4x+5)=0
=>3x-2=0 hoặc 4x+5=0
=>x=2/3 hoặc x=-5/4
b: (2,3x-6,9)(0,1x+2)=0
=>2,3x-6,9=0 hoặc 0,1x+2=0
=>x=3 hoặc x=-20
c: =>(x-3)(2x+5)=0
=>x-3=0 hoặc 2x+5=0
=>x=3 hoặc x=-5/2
\(=\dfrac{5.3.1}{7.4.2}=\dfrac{15}{14.4}=\dfrac{15}{56}\)
\(=\dfrac{3.5.14}{4.7.15}=\dfrac{3.5.7.2}{2.2.7.3.5}=\dfrac{1}{2}\)
a; \(=\dfrac{5\cdot3\cdot1}{7\cdot4\cdot2}=\dfrac{15}{56}\)
b: \(=\dfrac{3\cdot5\cdot14}{4\cdot7\cdot15}=\dfrac{210}{420}=\dfrac{1}{2}\)