Tìm x biết |x| + |x+3|=5x
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1 , <=> 25x^2 + 10x + 1 - ( 25x^2 - 9) = 30
<=> 25x^2 + 10x + 1 - 25x^2 + 9 = 30
<=> 10x + 10 = 30
<=> 10 ( x + 1) = 30
<=> x + 1 = 3
<=> x = 2
2, ( x + 3)(x^2 - 3x + 9 ) - x(x+2)(x-2) = 15
<=> x^3 - 27 - x(x^2 - 4) = 15
<=> x^3 - 27 - x^3 + 4x = 15
<=> 4x -27 = 15
<=> 4x = 15 + 27
<=> 4x =42
<=> x = 42/4 = 21/2
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a, \(-4x+5+2x-1=3\Leftrightarrow-2x=-1\Leftrightarrow x=\dfrac{1}{2}\)
b, \(-2x+2=2\Leftrightarrow x=0\)
c, \(-2x-6=-8\Leftrightarrow x=1\)
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\(\Rightarrow5x^2-15x-5x^2=45\)
\(\Rightarrow-15x=45\Rightarrow x=-3\)
=> Chọn C
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b) \(x\left(2x+5\right)=0\)
TH1: \(x=0\)
TH2: \(2x+5=0\Leftrightarrow2x=-5\Leftrightarrow x=\dfrac{-5}{2}\)
\(a,\Rightarrow5x\left(x-3\right)-\left(x-3\right)\left(x+3\right)=0\\ \Rightarrow\left(x-3\right)\left(5x-x-3\right)=0\\ \Rightarrow\left(x-3\right)\left(4x-3\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=3\\x=\dfrac{3}{4}\end{matrix}\right.\\ b,\Rightarrow x\left(2x+5\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x=-\dfrac{5}{2}\end{matrix}\right.\)
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`5x(x-3)=(x-2)(5x-1)-5`
`\rightarrow 5x^2-15x= [x(5x-1)-2(5x-1)-5]`
`\rightarrow 5x^2-15x=(5x^2-x-10x+2-5)`
`\rightarrow 5x^2-15x=5x^2-11x-3`
`\rightarrow 5x^2-15x-5x^2+11x+3=0`
`\rightarrow -4x+3=0`
`\rightarrow 4x=3`
`\rightarrow x=`\(\dfrac{3}{4}\)
Vậy, `x=`\(\dfrac{3}{4}\)
Còn biến `y` thì mình k thấy bạn nhé!
Cho mk sửa lại từ dòng thứ 6 (tính cả đề)
`\rightarrow -4x+3=0`
`\rightarrow -4x=-3`
`\rightarrow x=-3/-4`
`\rightarrow x=3/4`
Vậy, `x=3/4`
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5x(x – 3) – x + 3 = 0
⇔ 5x(x – 3) – (x – 3) = 0
(Xuất hiện nhân tử chung x – 3)
⇔ (x – 3)(5x – 1) = 0
⇔ x – 3 = 0 hoặc 5x – 1= 0
+ x – 3 = 0 ⇔ x = 3
+ 5x – 1 = 0 ⇔ 5x = 1 ⇔ x = 1/5
Vậy x = 3 hoặc x = 1/5.
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\(a,\Leftrightarrow\left(x-4\right)\left(x^2+5\right)>0\\ \Leftrightarrow x-4>0\left(x^2+5\ge5>0\right)\\ \Leftrightarrow x>4\\ b,\Leftrightarrow\left(x-y\right)\left(3x-5\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=y\left(vô.lí.do.x\ne y\right)\\x=\dfrac{5}{3}\left(tm\right)\end{matrix}\right.\\ \Leftrightarrow S=x^2-x=\dfrac{25}{9}-\dfrac{5}{3}=\dfrac{10}{9}\)
Trong bài này chỉ có 3 trường hợp.
TH1: \(x< -3\).
TH2: \(-3\le x< 0\).
TH3; \(x\ge0\).