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a, => |15-x| = 2+3
=> |15-x| = 5
=> 15-x = -5 hoặc 15-x = 5
=> x = 10 hoặc x = 10
Vậy ......
Tk mk nha
a/|15-x|=|-2|+|-3|
=>|15-x|=2+3=5
=>\(15-x=\hept{\begin{cases}5\\-5\end{cases}}\)
=>\(x=\hept{\begin{cases}10\\15\end{cases}}\)
.........
k nha , thanks
a)4x+4-3x+1=14
x+5=14
x=11
b)trường hợp 1 x2-9=0
x2=9
->x=3;-3
-trường hợp 2: x+2=0
x=-2
c)-th1:x2+9=0
x2=-9
->x rỗng
d)xy+2x-y-2=0
(xy-y)+(2x-2)=0
y(x-1)+2(x-1)=0
(y+2)(x-1)=0
th1: y+2=0
y=-2
th2:x-1=0
x=1
(th1: trường hợp 1)
1.
a, => 21-x+3 < 0
=> 24-x < 0
=> x < 24
b, => 7+x > 0
=> x > -7
c, => x-1 < 0 ; x+2 > 0 ( vì x-1 < x+2 )
=> x < 1 ; x > -2
=> -2 < x < 1
Tk mk nha
a) \(\dfrac{2}{3}x-\dfrac{1}{2}=\dfrac{1}{10}\)
\(\dfrac{2}{3}x=\dfrac{1}{10}+\dfrac{1}{2}=\dfrac{3}{5}\)
\(x=\dfrac{3}{5}:\dfrac{2}{3}=\dfrac{9}{10}\)
b) \(\dfrac{39}{7}:x=13\)
\(x=\dfrac{\dfrac{39}{7}}{13}=\dfrac{3}{7}\)
c) \(\left(\dfrac{14}{5}x-50\right):\dfrac{2}{3}=51\)
\(\dfrac{14}{5}x-50=51\cdot\dfrac{2}{3}=34\)
\(\dfrac{14}{5}x=34+50=84\)
\(x=\dfrac{84}{\dfrac{14}{5}}=30\)
d) \(\left(x+\dfrac{1}{2}\right)\left(\dfrac{2}{3}-2x\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{2}=0\\\dfrac{2}{3}-2x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{2}\\x=\dfrac{1}{3}\end{matrix}\right.\)
e) \(\dfrac{2}{3}x-\dfrac{1}{2}x=\dfrac{5}{12}\)
\(\dfrac{1}{6}x=\dfrac{5}{12}\)
\(x=\dfrac{5}{12}:\dfrac{1}{6}=\dfrac{5}{2}\)
g) \(\left(x\cdot\dfrac{44}{7}+\dfrac{3}{7}\right)\dfrac{11}{5}-\dfrac{3}{7}=-2\)
\(\left(x\cdot\dfrac{44}{7}+\dfrac{3}{7}\right)\cdot\dfrac{11}{5}=-2+\dfrac{3}{7}=-\dfrac{11}{7}\)
\(x\cdot\dfrac{44}{7}+\dfrac{3}{7}=-\dfrac{11}{7}:\dfrac{11}{5}=-\dfrac{5}{7}\)
\(\dfrac{44}{7}x=-\dfrac{5}{7}-\dfrac{3}{7}=-\dfrac{8}{7}\)
\(x=-\dfrac{8}{7}:\dfrac{44}{7}=-\dfrac{2}{11}\)
h) \(\dfrac{13}{4}x+\left(-\dfrac{7}{6}\right)x-\dfrac{5}{3}=\dfrac{5}{12}\)
\(\dfrac{25}{12}x-\dfrac{5}{3}=\dfrac{5}{12}\)
\(\dfrac{25}{12}x=\dfrac{5}{12}+\dfrac{5}{3}=\dfrac{25}{12}\)
\(x=1\)
Mỏi tay woa bn làm nốt nha!!
bài 1: đề chắc không?
2) a) \(\left(x-3\right)\left(x+5\right)>0\)
\(\Leftrightarrow\hept{\begin{cases}x-3>0\\x+5>0\end{cases}\Leftrightarrow\hept{\begin{cases}x>3\\x>-5\end{cases}\Leftrightarrow}x>3}\)
hoặc \(\hept{\begin{cases}x-3< 0\\x+5< 0\end{cases}\Leftrightarrow\hept{\begin{cases}x< 3\\x< -5\end{cases}\Leftrightarrow}x< -5}\)
Vậy x > 3 hoặc x < -5
b) \(\left(x-3\right)\left(x+5\right)< 0\)
\(\Leftrightarrow\hept{\begin{cases}x-3>0\\x+5< 0\end{cases}\Leftrightarrow\hept{\begin{cases}x>3\\x< -5\end{cases}\Leftrightarrow}3< x< -5}\)
hoặc \(\hept{\begin{cases}x-3< 0\\x+5>0\end{cases}\Leftrightarrow\hept{\begin{cases}x< 3\\x>-5\end{cases}\Leftrightarrow}-5< x< 3}\)
Vì 3 < x < -5 là vô lý => loại
Nên x phải thỏa mãn -5 < x < 3
bạn đúp vòa google nhấn geatesysolution ,nó sẽ giải cho bạn
\(3\left(x-5\right)-2\left(x+4\right)=-1\)
\(\Rightarrow3x-15-2x-8=-1\)
\(\Rightarrow3x-2x=-1+8+15\)
\(\Rightarrow x=22\)
\(\left|x-3\right|-5^2=\left(-5\right).4\)
\(\Rightarrow\left|x-3\right|=5\)
\(\Rightarrow\orbr{\begin{cases}x-3=5\\x-3=-5\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=8\\x=-2\end{cases}}\)
\(-14-2\left|x-5\right|=0\)
\(\Rightarrow2\left|x-5\right|=-14\)
Vì \(\left|x\right|\ge0\Rightarrow2\left|x-5\right|=-14\)(vô lí)
\(\left(3x+1\right)^2=49\)
\(\Rightarrow\left(3x+1\right)^2=\left(\pm7\right)^2\)
\(\Rightarrow\orbr{\begin{cases}3x+1=7\\3x+1=-7\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=-\frac{8}{3}\end{cases}}\)