a) \(A=5-3.\left(3x-1\right)^2=-\left[3\left(3x-1\right)^2-5\right]\)
Ta có: \(\left(3x-1\right)^2\ge0\forall x\)
\(\Rightarrow3.\left(3x-1\right)^2\ge0\)
\(\Rightarrow3\left(3x-1\right)^2-5\ge-5\forall x\)
\(\Rightarrow-\left[3\left(3x-1\right)^2-5\right]\ge5\forall x\)
Vậy \(MinA=5\Leftrightarrow x=\dfrac{1}{3}\)
bài 1 tìm x thuộc Q biết
a. |x|=\(^1_53\) và x<0
b.|x|=-2,1
c.|x-3,5|=5
d. |x+\(\dfrac{3}{4}\)|-\(\dfrac{1}{2}\)=0
e. |x-\(\dfrac{2}{5}\)|+\(\dfrac{1}{2}\)=\(\dfrac{3}{4}\)
f. \(\dfrac{5}{6}\)-|2-x|=\(\dfrac{1}{3}\)
g. (2x-5)^2=9
h. \(\sqrt{3-7x}\)=\(\dfrac{1}{4}\)
i. (\(\dfrac{2}{3}\))^x=\(\dfrac{8}{27}\)
k. (x+\(\dfrac{1}{2}\))^2=\(\dfrac{1}{9}\)
l. \(\dfrac{\left(-3^x\right)}{81}\)=-27
m.\(\left(x-2\right)\)^2x+3=(x-2)^2x+1(x thuộc N)
Tìm x biết:
a) \(\left(-\dfrac{2}{3}\right)^2.x=\left(-\dfrac{2}{3}\right)^5\) ; b) \(\left(-\dfrac{1}{3}\right)^3.x=\dfrac{1}{81}\) ; c) (2x-3)\(^2\) ; d) (3x-2)\(^5\) =-243
Bài 1:Tìm GTLN của các biểu thức:
a) A=5-3.(2x-1)2
b) B= 1 / 2(x-1)2 + 3
c) C=5/x < 1
1)Tìm x, biết :
\(4.\left[3x-1\right]+\left[x\right]-2.\left[x-5\right]+7.\left[x-3\right]=12\)
\(\left[2\dfrac{1}{5}-x\right]+\left[x-\dfrac{1}{5}\right]+8\dfrac{1}{5}=1,2\)
\(3.\left[x+4\right]-\left[2.x+1\right]-5.\left[x-3\right]+\left[x-9\right]=5\)
\(2\left[x+3\dfrac{1}{2}\right]+\left[x\right]-3\dfrac{1}{2}=\left[2\dfrac{1}{5}-x\right]\)
a, \(\dfrac{\left(-3\right)^x}{81}=-27\)
b, \(2^{x-1}=16\)
c, \(\left(x-1\right)^2=25\)
d, \(0,2-\left|4,2-2x\right|=0\)
e, \(1\dfrac{2}{3}:\dfrac{x}{4}=6:0,3\)
Bài 1: Tìm x, biết:
a) \(\dfrac{x+2}{18}\)=\(\dfrac{x-5}{9}\)
b)\(\dfrac{x+2}{-20}\)=\(\dfrac{-5}{x+2}\)
c) -10+\(\left(2x-5\right)^3\)=17
Bài 2: Tìm x,y,z biết:
a) \(\dfrac{x}{12}\)=\(\dfrac{y}{-5}\)=\(\dfrac{z}{6}\) và 2x+y-3z=26
b) \(\dfrac{x}{2}\)=\(\dfrac{y}{5}\)=\(\dfrac{z}{4}\) và x.y.z=40
c) \(\dfrac{x+1}{3}\)=\(\dfrac{y+2}{4}\)=\(\dfrac{z+3}{5}\) và x+y+z=18
d) \(\dfrac{x}{2}\)=\(\dfrac{y}{5}\); \(\dfrac{y}{4}\)=\(\dfrac{z}{6}\) và x+y-z=26
e) 4x=3y và \(x^2\)+\(y^2\)=100
1. c)\(\dfrac{4^2}{2^x}\) = 8
d) \(2^x\). 4 - \(2^{x+2}\)= 16.
2. Đĩa xe đạp có 48 răng , líp xe có 18 răng
a) Nếu đĩa quay 1 vòng thì líp quay mấy vòng.
b)Nếu líp quay 1 vòng thì đĩa quay mấy vòng
3. Tìm x để
a) (x - 2)2.(x + 2). (x - 4) < 0
b)\(\dfrac{2}{5x}\)< 1
c) \(\dfrac{x+5}{x+2}\) < 1
d)\(\dfrac{x+2}{x+3}\) >1
GIÚP MÌNH NHA
Tìm x ∈ Z, biết:
a, \(\dfrac{3}{2}\). 4x + \(\dfrac{5}{3}\). 4x+2 = \(\dfrac{3}{2}\). 48 + \(\dfrac{5}{3}\). 410
b, (1/3 + 1/6) . 2x + 2x+1 = 212 + 210
c, (1/2 - 1/3 ) . 6x + 6x+2 = 615 + 618
d, \(\dfrac{5}{3}\). 8x+2 - \(\dfrac{3}{5}\) . 8x = \(\dfrac{5}{3}\). 811 - \(\dfrac{3}{5}\). 89
1) tìm x:
a) 3(x+2)-(x+2)=0
b) (x2+1).(x+2019)=0
c) (x-3)+2x2-6x=0
2) tính :
A=\(\left|x+\frac{3}{2}\right|-\left|x-1\right|+\left|x-\frac{3}{4}\right|\)
