-1/3+1/4x=0.2 tìm x
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0,2:\(1\frac{1}{5}=\frac{2}{3}:\left(6x+7\right)\)
\(\Leftrightarrow0,2\times\left(6x+7\right)=1\frac{1}{5}\times\frac{2}{3}\)
\(\Leftrightarrow1,2x+1,4=\frac{4}{5}\)
\(\Leftrightarrow1,2x=\frac{4}{5}-1,4\)
\(\Leftrightarrow1,2x=-0,6\)
\(\Leftrightarrow x=-0,6:1,2\)
\(\Leftrightarrow x=-\frac{1}{2}\)
Vay x=\(-\frac{1}{2}\)
bài 1: a) \(x^2-3=x^2-\left(\sqrt{3}\right)^2=\left(x+\sqrt{3}\right)\left(x-\sqrt{3}\right)\)
b) \(\left(a+b\right)^2-\left(a+b\right)^2=\left(a+b+a+b\right)\left(a+b-a-b\right)=2a+2b=2\left(a+b\right)\)
c) \(x^3-27b^3=\left(x-3b\right)\left(x^2+3xb+b^2\right)\)
Bài làm
2,5 : 4x = 0,5 : 0,2
2,5 : 4x = 2,5
0,625x = 2,5
x = 2,5 : 0,625
x = 4
Vậy x = 4
# Học tốt #
1/x : 0,2 + 2/x : 0,25 =6,5
1/x : 1/5 + 2/x : 1/4=6,5
1/x x 5/1 + 2/x x 4/1 = 6,5
5/x+8/x = 6,5
13/x=6,5
13:x=6,5
x=13:6,5
x=2
`@` `\text {Ans}`
`\downarrow`
`a)`
`3x(4x-1) - 2x(6x-3) = 30`
`=> 12x^2 - 3x - 12x^2 + 6x = 30`
`=> 3x = 30`
`=> x = 30 \div 3`
`=> x=10`
Vậy, `x=10`
`b)`
`2x(3-2x) + 2x(2x-1) = 15`
`=> 6x- 4x^2 + 4x^2 - 2x = 15`
`=> 4x = 15`
`=> x = 15/4`
Vậy, `x=15/4`
`c)`
`(5x-2)(4x-1) + (10x+3)(2x-1) = 1`
`=> 5x(4x-1) - 2(4x-1) + 10x(2x-1) + 3(2x-1)=1`
`=> 20x^2-5x - 8x + 2 + 20x^2 - 10x +6x - 3 =1`
`=> 40x^2 -17x - 1 = 1`
`d)`
`(x+2)(x+2)-(x-3)(x+1)=9`
`=> x^2 + 2x + 2x + 4 - x^2 - x + 3x + 3=9`
`=> 6x + 7 =9`
`=> 6x = 2`
`=> x=2/6 =1/3`
Vậy, `x=1/3`
`e)`
`(4x+1)(6x-3) = 7 + (3x-2)(8x+9)`
`=> 24x^2 - 12x + 6x - 3 = 7 + (3x-2)(8x+9)`
`=> 24x^2 - 12x + 6x - 3 = 7 + 24x^2 +11x - 18`
`=> 24x^2 - 6x - 3 = 24x^2 + 18x -11`
`=> 24x^2 - 6x - 3 - 24x^2 + 18x + 11 = 0`
`=> 12x +8 = 0`
`=> 12x = -8`
`=> x= -8/12 = -2/3`
Vậy, `x=-2/3`
`g)`
`(10x+2)(4x- 1)- (8x -3)(5x+2) =14`
`=> 40x^2 - 10x + 8x - 2 - 40x^2 - 16x + 15x + 6 = 14`
`=> -3x + 4 =14`
`=> -3x = 10`
`=> x= - 10/3`
Vậy, `x=-10/3`
- \(\dfrac{1}{3}\) + \(\dfrac{1}{4}\)\(x\) = 0.2
\(\dfrac{1}{4}\)\(x\) = \(\dfrac{1}{3}\) + 0
\(x\) = \(\dfrac{1}{3}\) : \(\dfrac{1}{4}\)
\(x\) = \(\dfrac{4}{3}\)