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a) \(x-2=-6\)
\(x=-6+2\)
\(x=-4\)
b) \(15-\left(x-7\right)=-21\)
\(x-7=36\)
\(x=43\)
c) \(4.\left(3x-4\right)-2=18\)
\(4\left(3x-4\right)=20\)
\(3x-4=5\)
\(3x=9\)
\(x=3\)
d) \(\left(3x-6\right)+3=32\)
\(3x-6=29\)
\(3x=29+6\)
\(3x=35\)
\(x=\frac{35}{3}\)
e) \(\left(3x-6\right).3=32\)
\(3x-6=\frac{32}{3}\)
\(3x=\frac{32}{3}+6\)
\(3x=\frac{50}{3}\)
\(x=\frac{50}{9}\)
f) \(\left(3x-6\right):3=32\)
\(3x-6=96\)
\(3x=102\)
\(x=34\)
g) \(\left(3x-6\right)-3=32\)
\(3x-6=35\)
\(3x=41\)
\(x=\frac{41}{3}\)
h) \(\left(3x-2^4\right).7^3=2.7^4\)
\(\left(3x-2^4\right)=2.7=14\)
\(\left(3x-16\right)=14\)
\(3x=14+16=30\)
\(x=10\)
i) \(\left|x\right|=\left|-7\right|\)
\(\left|x\right|=7\)
\(\Rightarrow\orbr{\begin{cases}x=7\\x=-7\end{cases}}\)
k) \(\left|x+1\right|=2\)
\(\Rightarrow\orbr{\begin{cases}x+1=2\\x+1=-2\end{cases}\Rightarrow\orbr{\begin{cases}x=1\\x=-3\end{cases}}}\)
l) \(\left|x-2\right|=3\)
\(\Rightarrow\orbr{\begin{cases}x-2=3\\x-2=-3\end{cases}\Rightarrow\orbr{\begin{cases}x=5\\x=-1\end{cases}}}\)
m) \(x+\left|-2\right|=0\)
\(x+2=0\)
\(x=-2\)
o) \(72-3\left|x+1\right|=9\)
\(3\left|x-1\right|=63\)
\(\left|x-1\right|=21\)
\(\Rightarrow\orbr{\begin{cases}x-1=21\\x-1=-21\end{cases}\Rightarrow\orbr{\begin{cases}x=22\\x=-20\end{cases}}}\)
p) Ta có: \(\left|x-1\right|=3\)
\(\Rightarrow\orbr{\begin{cases}x-1=3\\x-1=-3\end{cases}}\)
mà \(x+1< 0\)
\(\Rightarrow x-1=-3\)
\(\Rightarrow x=-2\)
q) \(\left(x-2\right)\left(x+4\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-2=0\\x+4=0\end{cases}\Rightarrow\orbr{\begin{cases}x=2\\x=-4\end{cases}}}\)
hok tốt!!
31x72 - 31x70 - 31 x 2 - 31
=31x(72 -70 -2 -1)
=31 x (-1)
= -31
những câu sau thì lam tương tự nha bạn ^_^
a)
Dãy trên có số số hạng là:
( 20 - 1 ) : 1 + 1 = 20 ( số hạng )
Tổng của dãy trên là:
( 20 + 1 ) x 20 : 2 = 210
Đáp số: 210
b)
Dãy trên có số số hạng là:
( 21 - 1 ) : 2 + 1 = 11 ( số hạng )
Tổng của dãy trên là:
( 21 + 1 ) x 11 : 2 = 121
Đáp số: 121
c) ( 2x - 1 ) x 2 = 13
2x - 1 = \(\dfrac{13}{2}\)
2x = \(\dfrac{15}{2}\)
\(x=\dfrac{15}{4}\)
32 x ( x - 10 ) = 32
( x - 10 ) = 1
x = 11
\(A=1+2+3+...+20\)
Số hạng:
\(\left(20-1\right):1+1=20\) (số hạng)
Tổng: \(\left(20+1\right)\cdot20:2=210\)
\(B=1+3+5+...+21\)
Số hạng:
\(\left(21-1\right):2+1=11\) (số hạng)
Tổng: \(\left(21+1\right)\cdot11:2=121\)
\(\left(2x-1\right)\cdot2=13\)
\(\Rightarrow2x-1=\dfrac{13}{2}\)
\(\Rightarrow2x=\dfrac{15}{2}\)
\(\Rightarrow x=\dfrac{15}{4}\)
\(32\cdot\left(x-10\right)=32\)
\(\Rightarrow x-10=1\)
\(\Rightarrow x=11\)
Ta có: \(\dfrac{3x+5}{16}+\dfrac{2x+7}{8}=\dfrac{4+3x}{32}+2x\)
\(\Leftrightarrow\dfrac{2\left(3x+5\right)}{32}+\dfrac{4\left(2x+7\right)}{32}=\dfrac{4+3x}{32}+\dfrac{64x}{32}\)
Suy ra: \(6x+10+8x+28=4+3x+64x\)
\(\Leftrightarrow67x+4-14x-38=0\)
\(\Leftrightarrow53x=34\)
hay \(x=\dfrac{34}{53}\)
\(a,x+\dfrac{5}{7}=\dfrac{10}{-35}\\ x=\dfrac{-10}{35}-\dfrac{5}{7}\\ x=-1\\ b,\dfrac{2}{x}=\dfrac{x}{8}\\ x.x=2.8\\ x^2=16\\ x=\pm4\)
a, \(x\) + \(\dfrac{5}{7}\) = \(\dfrac{10}{-35}\)
\(x\) = \(-\dfrac{10}{35}\) - \(\dfrac{5}{7}\)
\(x\) = -1
b, \(\dfrac{2}{x}\) = \(\dfrac{x}{8}\)
\(x^2\) = 16
\(\left[{}\begin{matrix}x=-4\\x=4\end{matrix}\right.\)
Vậy \(x\) \(\in\){ -4; 4}
c, \(\dfrac{x-3}{2}\) = \(\dfrac{32}{x-3}\)
(\(x-3\))(\(x-3\)) = 32\(\times\) 2
(\(x-3\))(\(x\) - 3) = 64
(\(x-3\))2 = 82
\(\left[{}\begin{matrix}x-3=-8\\x-3=8\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-8+3\\x=8+3\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-5\\x=11\end{matrix}\right.\)
Vậy \(x\) \(\in\) { -5; 11}
1 a x=4
b x=-4
c x=-7
d x=3
e x=10
g x=60
h x=36
i x=16
2a 1,2,3,4,5,6,7,8,9
b 1,2,3,4,5,6,7,8,9.........
c rỗng
3a 0
b 0
c10
6:=(3/2)*(3/2)^2*(3/2)^4=(3/2)^7
7: =(1/2)^7*2^3*2^5*2^8=2^9
8: =(-1/7)^4*5^4=(-5/7)^4
9: =2^2*2^5:(2^3/2^4)
=2^7/2=2^6
10: =(1/7)^3*7^2=1/7
\(\dfrac{x-3}{32}=\dfrac{-2}{3-x}\)
\(\Rightarrow\dfrac{x-3}{32}=\dfrac{-\left(-2\right)}{-\left(3-x\right)}\)
\(\Rightarrow\dfrac{x-3}{32}=\dfrac{2}{x-3}\)
\(\Rightarrow\left(x-3\right)^2=64\)
\(\Rightarrow\left[{}\begin{matrix}x-3=8\\x-3=-8\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=11\\x=-5\end{matrix}\right.\)
\(x-\dfrac{3}{32}=-\dfrac{2}{3}-x\\ \Rightarrow x-\dfrac{3}{32}+x=-\dfrac{2}{3}\\ \Rightarrow2x=-\dfrac{55}{96}\\ \Rightarrow x=-\dfrac{55}{192}.\)