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c) (4x - 8)[x + (-3)] = 0
=> 4(x - 2)(x - 3) = 0
=> (x - 2)(x - 3) = 0
=> x - 2 = 0 hoặc x - 3 = 0
+) x - 2 = 0 => x = 2
+) x - 3 = 0 => x = 3
Vậy x \(\in\){2;3}
11(x - 6) = 4x + 11
=> 11x - 66 = 4x + 11
=> 11x - 4x = 11 + 66
=> 7x = 77
=> x = 77/7
=> x = 11
\(\dfrac{5}{x}+1+\dfrac{4}{x}+1=\dfrac{3}{-13}\\ \Rightarrow\dfrac{9}{x}+2=-\dfrac{3}{13}\\ \Rightarrow\dfrac{9}{x}=-\dfrac{59}{13}\\ \Rightarrow x=-\dfrac{207}{59}\)
a. \(\dfrac{5}{x+1}+\dfrac{4}{x+1}=\dfrac{-3}{13}\)
ĐKXĐ: x ≠ -1
⇔ \(\dfrac{65}{13\left(x+1\right)}+\dfrac{52}{13\left(x+1\right)}=\dfrac{-3\left(x+1\right)}{13\left(x+1\right)}\)
⇔ 65 + 52 = -3(x + 1)
⇔ 117 = -3x - 3
⇔ 117 + 3 = -3x
⇔ 120 = -3x
⇔ x = \(\dfrac{120}{-3}=-40\) (TM)
b. -x + 2 + 2x + 3 + x + \(\dfrac{1}{4}\) + 2x + \(\dfrac{1}{6}\) = \(\dfrac{8}{3}\)
⇔ -x + 2x + x + 2x = \(\dfrac{8}{3}-\dfrac{1}{6}-\dfrac{1}{4}-3-2\)
⇔ 4x = -2,75
⇔ x = \(\dfrac{-2,75}{4}=\dfrac{-11}{16}\)
c. \(\dfrac{3}{2x+1}+\dfrac{10}{4x+2}-\dfrac{6}{6x+2}\) = \(\dfrac{12}{26}\)
⇔ \(\dfrac{3}{2x+1}+\dfrac{10}{2\left(2x+1\right)}-\dfrac{6}{2\left(3x+1\right)}=\dfrac{12}{26}\)
⇔ \(\dfrac{312\left(3x+1\right)}{104\left(2x+1\right)\left(3x+1\right)}\) + \(\dfrac{520\left(3x+1\right)}{104\left(2x+1\right)\left(3x+1\right)}\) - \(\dfrac{312\left(2x+1\right)}{104\left(2x+1\right)\left(3x+1\right)}\)
= \(\dfrac{48\left(2x+1\right)\left(3x+1\right)}{104\left(2x+1\right)\left(3x+1\right)}\)
⇔ 312(3x +1) + 520(3x + 1) - 312(2x + 1) = 48(2x + 1)(3x + 1)
⇔ 936x + 312 + 1560x + 520 - 624x - 312 = (96x + 48)(3x + 1)
⇔ 936x + 312 + 1560x + 520 - 624x - 312 = 288x2 + 96x + 144x + 48
⇔ 936x + 1560x - 624x - 96x - 144x - 288x2 = 48 - 312 - 520 + 312
⇔ 1632x - 288x2 = -472
⇔ -288x2 + 1632x + 472 = 0 (Tự giải tiếp, dùng phương pháp tách hạng tử)
⇔ x = 5,942459684 \(\approx\) 6
làm ăn vầy là chết tui rồi
\(x.\left(x+5\right)=0\)
\(\Leftrightarrow\)\(x=0\Rightarrow x=0\)
\(\Leftrightarrow\)\(x+5=0\Rightarrow x=-5\)
Vậy \(x\in\left\{0;-5\right\}\)
b) \(\left(2x-6\right)\left(-4x-8\right)\)
\(\Leftrightarrow\)\(2x-6=0\Rightarrow x=\frac{6}{2}=3\)
\(\Leftrightarrow\)\(-4x-8=0\Rightarrow x=-2\)
Vậy \(x\in\left\{3;-2\right\}\)
a) x . ( x + 5 ) = 0
\(\Rightarrow\orbr{\begin{cases}x=0\\x+5=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=-5\end{cases}}\)
b) ( 2x - 6 ) . ( -4x - 8 ) = 0
\(\Rightarrow\orbr{\begin{cases}2x-6=0\\-4x-8=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}2x=6\\-4x=8\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=3\\x=-2\end{cases}}\)
\(x+2x+3x+4x+35=-65\Rightarrow (1+2+3+4)x=-65-35\Rightarrow 10x = -100 \Rightarrow x=-10\)
a) \(\frac{-x}{2}+\frac{2x}{3}+x+\frac{1}{4}+2x+\frac{1}{6}=\frac{3}{8}.\)
\(\frac{-x}{2}+\frac{2x}{3}+3x+\frac{5}{12}=\frac{3}{8}\)
\(x.\left(-\frac{1}{2}+\frac{2}{3}+3\right)+\frac{5}{12}=\frac{3}{8}\)
\(x\cdot\frac{19}{6}=-\frac{1}{24}\)
x = -1/76
b) \(\frac{3}{2x+1}+\frac{10}{4x+2}-\frac{6}{6x+3}=\frac{12}{26}\)
\(\frac{3}{2x+1}+\frac{2.5}{2.\left(2x+1\right)}-\frac{2.3}{3.\left(2x+1\right)}=\frac{6}{13}\)
\(\frac{3}{2x+1}+\frac{5}{2x+1}-\frac{2}{2x+1}=\frac{6}{13}\)
\(\frac{3+5-2}{2x+1}=\frac{6}{13}\)
\(\frac{6}{2x+1}=\frac{6}{13}\)
=> 2x + 1 = 13
2x = 12
x = 6
a, => x=0 hoặc x+5=0
=> x=0 hoặc x=-5
b, => 2x-6=0 hoặc -4x-8=0
=> x=3 hoặc x=-2
Tk mk nha
a.x.(x+5)=0 <=>\(\orbr{\begin{cases}x=0\\x+5=0\end{cases}}\)<=> \(\orbr{\begin{cases}x=0\\x=-5\end{cases}}\)
b.(2x-6)(-4x-8)=0 <=> \(\orbr{\begin{cases}2x-6=0\\-4x-8=0\end{cases}}\) <=>\(\orbr{\begin{cases}2x=6\\-4x=8\end{cases}}\orbr{\begin{cases}x=3\\x=-2\end{cases}}\)
dễ mà bn,(2x-6)(4x+8)=0=>2x-6=0 hoặc 4x+8=0 rồi từ đó tự tính ra thôi!
(2x-6).(4x+8)=0
=>2x-6=0 =>4x+8=0
2x=0+6 4x =0-8
2x=6 4x =-8
x=6:2 x =-8:4
x=3 x =-2
Vậy x=3 hoặc x=-2