2x-74:37=100
10+2.x=45:43
5x3=625
Tìm x, biết:
a) 1 2 − 3 x + 4 1 5 = 6 2 5
b) 17 2 − 2 x − 3 4 = − 7 4
a) (-52)+l-521+(-148)+l-148l
b) -(-26)+(-48)-(-74)+(-52)
c) 226+(-225)+284+(-175)
d) -5+(-37-45+51)-(-37+51)
e) (-13) -9x(-7)
f) (-2) mũ 2x(5)mũ 3: 10mux 2
g) (-4) mũ 3: 4 mũ 2 +(-3) mũ 2 : 3 mũ 2
bài 2: tìm x
14-(x-17)=-31
lxl=9
1. (-12)+(-15)+(-31) | 2. 25+37-59 | 3. (-12)+13-(-60)
4. 24:(-2)+(-5) | 5. 32.(-2)+64 | 6. 18.3+(-50):5
7. (-24)+37+163+(-176) | 8. 125+217+(-625)+529 | 9. 29+132+237+868+763
10. (-87)+126+187+74 | 11. 29.87+29.13 | 12. 123.(-29)-23.(-29)
13. 31.(-18)+31.(-81)-31 | 14.(-12).47+(-12).52+(-12) | 15. 24.(16-5)-16.(24-5)
16. 29.(29-3)-19.(29-13) | 17. -452-(-67+75-452) | 18. -(-171+89+223)-(71-111)+223
19. 21.83-3.7.(-17) | 20. 35-{12-[-14+(-2)]} | 21.5+10+15+20+....+1000
22. 3-6+9-12+....+195-198
Tìm tất cả các số tự nhiên a,b sao cho: 2^a+37=|b-45|+b-45
B) 17X - ( -16X - 37 ) + 2x + 43
C) -2x -3.( x-17) = 34 -2 (-2x +25)
D) 17x+ 3. ( -16x -37) = 2x +43 -4x
E) {- 3x +2. [45 - x-3 (3x + 7) - 2x] + 4x} =55
F) -103 - 57 : [ -2 ( 2x -1 )2 - ( -9 )0 ] - 106
G) -2x + 3. { 12-2 [ 3x - ( 20 + 2x ) - 4x ] + 1} = 45
giúp mình nhé!
tìm x biết
phần a: (2x+1)^2= 25 ; (2x-3)^2= 36
phần b: 5^x+2= 625 ; (2x -1)^3= -8
phần c: (x-3)^2+(15x-45)^4= 0 ; |x-3|+(x^2-3x)^2= 0
\(a)\left(2x+1\right)^2=25\)
\(\Rightarrow\left(2x+1\right)^2=\left(\pm5\right)^2\)
\(\Rightarrow\left[{}\begin{matrix}2x+1=5\\2x+1=-5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}2x=4\\2x=-5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=2\\x=-3\end{matrix}\right.\)
Vậy \(\left[{}\begin{matrix}x=2\\x=-3\end{matrix}\right.\)
\(\left(2x-3\right)^2=36\)
\(\Rightarrow\left(2x-3\right)^2=\left(\pm6\right)^2\)
\(\Rightarrow\left[{}\begin{matrix}2x-3=6\\2x-3=-6\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}2x=9\\2x=-3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{9}{2}\\x=-\frac{3}{2}\end{matrix}\right.\)
Vậy \(\left[{}\begin{matrix}x=\frac{9}{2}\\x=-\frac{3}{2}\end{matrix}\right.\)
\(b)5^x+2=625\)
\(\Rightarrow5^x=623\)
\(\Rightarrow x\in\varnothing\)
Vậy \(x\in\varnothing\)
\(\left(2x-1\right)^3=-8\)
\(\Rightarrow\left(2x-1\right)^3=\left(-2\right)^3\)
\(\Rightarrow2x-1=-2\)
\(\Rightarrow2x=-1\)
\(\Rightarrow x=-\frac{1}{2}\)
\(c)\left(x-3\right)^2+\left(15x-45\right)^4=0\)
- Có \(\left\{{}\begin{matrix}\left(x-3\right)^2\ge0,\forall x\\\left(15x-45\right)^4\ge0,\forall x\end{matrix}\right.\Rightarrow\left(x-3\right)^2+\left(15x-45\right)^4\ge0,\forall x\)
Suy ra: Để \(\left(x-3\right)^2+\left(15x-45\right)^4=0\) thì \(\left\{{}\begin{matrix}\left(x-3\right)^2=0\\\left(15x-45\right)^4=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x-3=0\\15x-45=0\end{matrix}\right.\Rightarrow x=3\)
\(\left|x-3\right|+\left(x^2-3x\right)^2=0\)
- Có \(\left\{{}\begin{matrix}\left|x-3\right|\ge0,\forall x\\\left(x^2-3x\right)^2\ge0,\forall x\end{matrix}\right.\Rightarrow\left|x-3\right|+\left(x^2-3x\right)^2\ge0,\forall x\)
Suy ra: Để \(\left|x-3\right|+\left(x^2-3x\right)^2=0\)thì \(\left\{{}\begin{matrix}\left|x-3\right|=0\\\left(x^2-3x\right)^2=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x-3=0\\x^2-3x=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=3\\x\left(x-3\right)=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=3\\\left[{}\begin{matrix}x=0\\x=3\end{matrix}\right.\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=3\end{matrix}\right.\)
Đặt tính rồi tính:
34 - 16 84 – 37
74 - 45 64 - 29
Phương pháp giải:
- Đặt tính: Viết phép tính sao cho các chữ số cùng hàng thẳng cột với nhau.
- Tính: Trừ các số lần lượt từ phải sang trái.
Lời giải chi tiết:
15/37x(38/41-74/45)-38/41x(15/37+82/76)
\(=\dfrac{15}{37}\cdot\dfrac{38}{41}-\dfrac{15}{37}\cdot\dfrac{74}{45}-\dfrac{38}{41}\cdot\dfrac{15}{37}-\dfrac{38}{41}\cdot\dfrac{82}{76}\)
\(=\dfrac{-1}{3}\cdot2-\dfrac{1}{2}\cdot2=-\dfrac{2}{3}-1=-\dfrac{5}{3}\)
-2x – (x – 17) = 34 – (-x + 25)
17x – ( -16x – 37) = 2x + 43
-2x –3. (x – 17) = 34 – 2(-x + 25)
17x + 3. ( -16x – 37) = 2x + 43 - 4x
{ -3x + 2.[ 45- x -3( 3x+ 7 -2x ] +4x } = 55
103 -57: [-2. (2x – 1 ) ^ 2 – (-9) ^ 0 ] = -106
1)-2x – (x – 17) = 34 – (-x + 25)
-2x-x-_17