\(\left(3x+1\right)^8>=0\)
\(\left(2y^2-32\right)^8>=0\)
Do đó: \(\left(3x+1\right)^8+\left(2y^2-32\right)^8>=0\)
Dấu '=' xảy ra khi 3x+1=0 và 2y2-32=0
\(\Leftrightarrow\left\{{}\begin{matrix}x=-\dfrac{1}{3}\\y\in\left\{4;-4\right\}\end{matrix}\right.\)
Tìm x,y biết:
a) \(-\dfrac{1}{2}\left(3-2x\right)-7=5-\dfrac{1}{3}\left(x-\dfrac{4}{5}\right)\)
b)\(\left(5-\dfrac{3x}{2}\right):-1\dfrac{3}{8}=-7\dfrac{1}{3}\)
c)\(\left(2+3x\right)^2+\left|3x+2y\right|=0\)
Tìm số nguyên x
1/ \(17x+3\left(-16x-37\right)=2x+43-4x\)
2/ \(-2x-3\left(x-17\right)=34-2\left(-x+25\right)\)
3/ \(\left\{-3x+2\left[45-x-3\left(3x+7\right)-2x\right]+4x\right\}=55-103-57:\left[-2\left(2x-1\right)^2-\left(-9\right)^0\right]=-106\)
4/ \(-2x+3\left\{12-2\left[3x-\left(20+2x\right)-4x\right]+1\right\}=45\)
5/ \(3x-32>-5+1\)
6/ \(15+4x< 2x-145\)
7/ \(-3\left(2x+5\right)-16< -4\left(3-2x\right)\)
8/ \(-2x+15< 3x-7< 19-x\)
Tìm GTLN hoặc GTNN của :
a) \(A=\left|-x+8\right|-21\)
b) \(B=\left|-x-17\right|+\left|y-36\right|+12\)
c) \(C=-\left|2x-8\right|-35\)
d) \(D=3\left(3x-12\right)^2-37\)
e) \(E=-21-3\left|2x+50\right|\)
g) \(G=\left(x-3\right)^2+\left|x^2-9\right|+25\)
8 Tìm x,y biết:
a) 2\(\left|2x-3\right|\)=\(\dfrac{1}{2}\) b)7,5-3\(\left|5-2x\right|\)=-4,5 c)\(\left|3x-4\right|\)+\(\left|3y+5\right|\)=0
Số các già trị của x để \(\left(2-x\right)\cdot\left(x^2-4\right)\cdot\left(3x+9\right)\cdot\left(x^3+8\right)=0\) là bao nhiêu?
Bài 1: Tính:
A=\(\left(-2\right).\left(-3\right)-5.\left|-5\right|+125.\left(\dfrac{-1}{5}\right)^2\)
B=\(\left(-3\right).\left|-7\right|-\left(-4\right).\left|5\right|+\dfrac{1}{3}.\left|-9\right|\)
C=\(\left(-2\right)^3.\left|-3\right|-\dfrac{1}{5}.\left|-25\right|-4.\left|-7\right|+\left(-2\right)^2\)
D=\(\left(-6\right).\left|-3\right|+2.\left|-9\right|-7\left|\left(-2\right)^3\right|+8.\left|-7\right|\)
E=\(\left|-3^2\right|.\left|4\right|-\left|7\right|.8-\left|6\right|.\left|-8\right|-\left|12\right|.\left(\dfrac{1}{2}\right)^2\)
Bài 2: Tìm x:
a)\(12-2\left|3x+2\right|=10\)
b)\(2.\left|5-4x\right|+17=\left(-2\right)^3.\left(-4\right)\)
c)\(\left|3x-5\right|+\left(-3\right)^2.2=12.\left|3x+5\right|+117\)
d)\(4.\left|3-2x\right|+\left(-5\right).\left|4-3x\right|-5=-6\)
e)\(\left|2x-7\right|-2^3.\left|2x-7\right|+15=-5.\left|2x-7\right|+3\)
f)\(\left|x+2\right|+\left|x^2-4\right|=0\)
g)\(\left|3x-9\right|+\left|x^2-9\right|=0\)
h)\(\left|2x-1\right|+\left|x^2-\dfrac{1}{4}\right|=0\)
Bài 1 Tìm Max
a) A = \(\frac{21\left|4x+6\right|+33}{3\left|4x+6\right|+5}\)
b) B = \(\frac{15\left|x+1\right|+32}{6\left|x+1\right|+8}\)
c) C = \(\frac{6\left|y+5\right|+14}{2\left|y+5\right|+14}\)
1.
a.\(\left|2x+4\right|+\left|4x+8\right|=0\)
b.\(\left|x-5\right|+\left|x-7\right|=0\)
c.\(\left|x+8\right|-\left|2x+2\right|=0\)
Tìm x,y,z
\(\left(x-1\right)^2+\left(3x-y-3\right)^2+\left(y+z\right)^4=0\)
