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d: ta có: \(C=3+3^3+3^5+...+3^{1991}\)
\(=3\left(1+3^2+3^4\right)+...+3^{1987}\left(1+3^2+3^4\right)\)
\(=91\cdot\left(3+...+3^{1987}\right)⋮13\)
Vì | x+5 | >=0 với mọi x
| y - 4 | >=0 với mọi y
=> |x +5| +|y-4|>=0
Mà |x+5|+|y-4|<=0
=> \(\hept{\begin{cases}x+5=0\\y-4=0\end{cases}\Leftrightarrow}\hept{\begin{cases}x=-5\\y=4\end{cases}}\)
vậy ...........
hok tốt
Ta có: \(\hept{\begin{cases}\left|x+5\right|\ge0\forall x\\\left|y-4\right|\ge0\forall y\end{cases}}\)
\(\Rightarrow\left|x+5\right|+\left|y-4\right|\ge0\)
\(\Rightarrow\left|x+5\right|+\left|y+4\right|=0\)
\(\Leftrightarrow\hept{\begin{cases}\left|x+5\right|=0\\\left|y-4\right|=0\end{cases}\Rightarrow\hept{\begin{cases}x+5=0\\y-4=0\end{cases}\Rightarrow}\hept{\begin{cases}x=-5\\y=4\end{cases}}}\)
vậy x =-5; y = 4
hok tốt!!
a)
5.(12-x)-20=30
⇒60-5x-20=30
⇒-5x=30+20-60
⇒-5x=-10
⇒x=2
b)(17x - 25 ) : 8 + 65 = 92
(17x - 25 ) : 8 + 65 = 81
17x - 25 = 16 x 8 = 128
17x = 128+25=153
x= 153:17 =9
c)
x=23
Giải thích các bước giải:
3x – 10 = 2x + 13
3x-2x=13+10
x=23
d)4(2x+7)-3(3x-2)=24
4.2x+4.7-3.3x+3.2=24
8x+28-9x+6=24
8x-9x=24-28-6=-10
=>(-1)x=-10
x=-10:(-1)
x=10
a. \(5\cdot\left(12-x\right)-20=30\Leftrightarrow5\left(12-x\right)=50\)
\(\Leftrightarrow12-x=50:5=10\)
\(\Leftrightarrow x=12-10=2\)
b. \(\left(17x-25\right):8+65=9^2\)
\(\Leftrightarrow\left(17x-25\right):8=81-65=16\)
\(\Leftrightarrow17x-25=16:8=2\)
\(\Leftrightarrow17x=2+25=27\Leftrightarrow x=\frac{27}{17}\)
c. \(3x-10=2x+13\)
\(\Leftrightarrow3x-2x=10+13\)
\(\Leftrightarrow x=23\)
d. \(4\cdot\left(2x+7\right)-3\cdot\left(3x-2\right)=24\)
\(\Leftrightarrow8x+28-9x+6=24\)
\(\Leftrightarrow34-x=24\Leftrightarrow x=10\)
\(\Leftrightarrow\)\(\frac{\left(x+1\right)\left(x-7\right)}{\left(x-4\right)\left(x-7\right)}=\frac{\left(x+5\right)\left(x-4\right)}{\left(x-4\right)\left(x-7\right)}\)
\(\Rightarrow\)\(^{x^2-7x+x-7=x^2-4x+5x-20}\)
\(\Leftrightarrow\)\(x^2-x^2-6x-x-7+20=0\)
\(\Leftrightarrow-7x+13=0\)
\(\Leftrightarrow-7x=-13\)
\(\Rightarrow x=\frac{13}{7}\)
\(pt\Leftrightarrow\left(x+1\right)\left(x-7\right)=\left(x-4\right)\left(x+5\right)\)
\(\Leftrightarrow x^2-7x+x-7=x^2+5x-4x-20\)
\(\Leftrightarrow-7x=-13\Rightarrow x=\frac{13}{7}\)
\(12\left(x-1\right)=0\\ =>x-1=0:12\\ =>x-1=0\\ =>x=0+1\\ =>x=1\)
\(12.\left(x-1\right)=0\)
\(x-1=0:12\)
\(x-1=0\)
\(x=0+1\)
\(x=1\)