2x+11 . 34 = 12x
b)N=12x+34/x^2+2
b)A=6x+8/x^2+1
c)B=6x+11/x^2-2x+3
d)N=6x+17/x^2+2
Tim GTNN va GTLN :
b)N=12x+34/x^2+2
b)A=6x+8/x^2+1
c)B=6x+11/x^2-2x+3
d)N=6x+17/x^2+2
Tim GTNN va GTLN :
b)N=12x+34/x^2+2
b)A=6x+8/x^2+1
c)B=6x+11/x^2-2x+3
d)N=6x+17/x^2+2
Chứng minh các biểu thức sau không âm. ( Luôn dương )
a) x^2-8x+20
b) x^2+11
c) 4x^2-12x+11
d) x^2+5y^2+2x+6y+34
g) (15-1)^2+3.(7x+3).(x+1)-(x^2-73)
f) x^2-2x+y^2+4y+6
a) \(x^2-8x+20\)
\(=x^2-2.x.4+16+4\)
\(=\left(x-4\right)^2+4\)
Có: \(\left(x-4\right)^2\ge0\Rightarrow\left(x-4\right)^2+4>0\)
Hay:.............
b) \(x^2+11\)
Có: \(x^2\ge0\Rightarrow x^2+11>0\)
Hay:.............
c) \(4x^2-12x+11\)
\(=4\left(x^2-3x+\frac{11}{4}\right)\)
\(=4\left(x^2-2.x.\frac{3}{2}+\frac{9}{4}+\frac{1}{2}\right)\)
\(=4\left(x-\frac{3}{2}\right)^2+2>0\)
d) \(x^2+5y^2+2x+6y+34\)
\(=x^2+2.x.1+1+y^2+4y^2+2.y.3+9+24\)
\(=\left(x^2+2.x.1+1\right)+\left(y^2+2.y.3+9\right)+4y^2+24\)
\(=\left(x+1\right)^2+\left(y+3\right)^2+\left(2y\right)^2+24\)
Ta có: \(\left\{{}\begin{matrix}\left(x+1\right)^2\ge0\\\left(y+3\right)^2\ge0\\\left(2y\right)^2\ge0\end{matrix}\right.\)
\(\Rightarrow\left(x+1\right)^2+\left(y+3\right)^2+\left(2y\right)^2+24>0\)
f) \(x^2-2x+y^2+4y+6\)
\(=x^2-2.x.1+1+y^2+2.y.2+4+1\)
\(=\left(x-1\right)^2+\left(y+2\right)^2+1>0\)
1 (x+1)+(2x+4).(3x.7)+...+(12x+34)=52
Tìm x, biết
a , ( 9 2 - 2 x ) : 0 , 75 = 1 1 3 b , ( - 1 2 x + 2 3 ) : - 3 7 = 14 5 c , - 2 5 x - 1 50 - 1 4 = 3 4
a , x = 7 4 b , 36 15 c , x = - 2 h o ặ c x = 3
Tìm x, biết:
a ) 9 2 - 2 x : 0 , 75 = 1 1 3 b ) - 1 2 x + 2 3 : - 3 7 = 14 5 c ) - 2 5 x - 1 5 - 1 4 = 3 4
(x+1)+(2x+4)+(3x+7)+...+(12x+34) bằng 5
Ghi cách làm đầy đủ
Tìm số nguyên x, biết:
a) 3 4 = x x + 1
b) 2 3 = x + 1 2 x
c) 1 x + 1 = 2 x + 3
d) 5 4 x − 2 = − 1 5 − x