Tim GTNN:
B= |2x+1|+ |2x+3|+ |2x+5|
Tìm GTNN:
B= 2x^2-14y+y^2-4x+16
\(B=2\left(x^2-2x+1\right)+\left(y^2-14y+49\right)-35\\ =2\left(x-1\right)^2+\left(y-7\right)^2-35\ge-35\)
dấu = xảy ra khi x=1,y=7
tick mik nha
Ta có: \(B=2x^2-4x+y^2-14y+16\)
\(=2\left(x^2-2x+1\right)+y^2-14y+49-34\)
\(=2\left(x-1\right)^2+\left(y-7\right)^2-34\ge-34\forall x,y\)
Dấu '=' xảy ra khi x=1 và y=7
tim x : |3-2x|-|x-5|+|2x-1|=1
tim x
a/ (5x -1)^6 =729
b/(2x+1)^3=0,001
c/(2x-3)^4=(2x-3)^6
d/(2x+1)^5=(2x+1)^2010
a,(5x-1)6=36
5x-1=3
x=4/5
b,(2x+1)3=0,13
2x+1=0,1
x=-0,45
c,(2x-3)4=(2x-3)4(2x-3)2
(2x-3)2=0
2x-3=0
x=3/2
d,(2x+1)5=(2x+1)5(2x+1)2005
(2x+1)2005=0
2x+1=0
x=-1/2
tim x biet : (2x+3)^2x - 2*(2x+3)*(2x-5)+(2x-5)^2=x^2+6x+64
\(\Leftrightarrow\left(2x+3-2x+5\right)^2=x^2+6x+64\)
=>x^2+6x=0
=>x(x+6)=0
=>x=0 hoặc x=-6
Tim x biet
1/3×5+1/5×7+.....+1/(2x+1)(2x+3)=100/609
tim x biet;(2x-1)(3x+1)+(3x-4)(3-2x)=5
ta co (2x-1)(3x+1)+(3x+4)(3-2x)=5
(=)6x2-3x+2x-1+6x-6x2+12-8x=5
(=)-4x+11=5
(=)-4x=-6
(=)x=3/2
(2x-1)(3x+1)+(3x-4)(3-2x)=5
<=> 6x2+2x-3x-1+9x-6x2-12+8x=5
<=> 16x-13=5
<=> 16x = 18
<=> x=9/8
\(\dfrac{7^{x+2}+7^{x+1}+7^x}{57}=\dfrac{5^{2x}+5^{2x+1}+5^{2x+3}}{131}\)
tim x
\(\Leftrightarrow\dfrac{7^x.7^2+7^x.7+7^x}{57}=\dfrac{5^{2x}+5^{2x}.5+5^{2x}.5^3}{131}\)
\(\Leftrightarrow7^x\left(\dfrac{7^2+7+1}{57}\right)=5^{2x}\left(\dfrac{1+5+5^3}{131}\right)\)
\(\Leftrightarrow7^x\dfrac{57}{57}=5^{2x}\dfrac{131}{131}\Leftrightarrow7^x=5^{2x}\Leftrightarrow7^x=25^x\Leftrightarrow x=0\)
P(x)=2x^5+2x+8-3x^2-2x^5+2x^3-4x^4 tim bậc của p(x)
`P(x)=2x^5+2x+8-3x^2-2x^5+2x^3-4x^4 `
`= (2x^5 -2x^5) -4x^4 +2x^3 -3x^2 +2x +8`
`= -4x^4 +2x^3 -3x^2 +2x +8`
Bậc của `P(x)=10`
a,tim x biet |x-2|+|3-2x|=2x+1
b,tim x,y thuoc Z biet xy+2x-y=5
c, tinh A=(1-1/15)(1-1/21)(1-1/28).....(1-1/210)