b)√(√2 +5)2-√2
c)√4-2√3 -2/√3 -1 +√3 -3/√3 -1
a) |x-1/3|=11/5 b)2|2x-3|=1/2
c)2|3x-1|+1=5 d)3/2+4/5|x-3/4|=7/4
e)|2x-5|=4 f)|x/2-1|=3
a)\(\left|\dfrac{x-1}{3}\right|=\dfrac{11}{5}\Rightarrow\dfrac{x-1}{3}=\pm\dfrac{11}{5}\\ \Rightarrow\left[{}\begin{matrix}\dfrac{x-1}{3}=\dfrac{11}{5}\\\dfrac{x-1}{3}=-\dfrac{11}{5}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x-1=\dfrac{33}{5}\\x-1=\dfrac{-33}{5}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{38}{5}\\x=\dfrac{-28}{5}\end{matrix}\right.\)
b)\(2\left|2x-3\right|=\dfrac{1}{2}\\ \Rightarrow\left|2x-3\right|=\dfrac{1}{4}\\ \Rightarrow2x-3=\pm\dfrac{1}{4}\\ \Rightarrow\left[{}\begin{matrix}2x-3=\dfrac{1}{4}\\2x-3=-\dfrac{1}{4}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}2x=\dfrac{13}{4}\\2x=\dfrac{-11}{4}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{13}{8}\\x=\dfrac{-11}{8}\end{matrix}\right.\)
bài 1: tính
a ) 4 /7 + 7 / 2 b )5/8 * 3 /2
C ) 3 / 2 * 5 / 6 - 2 / 3 d ) 13 / 15 + 2 / 5 : 3 /4
\(a,\dfrac{4}{7}+\dfrac{7}{2}\\ =\dfrac{8}{14}+\dfrac{49}{14}\\ =\dfrac{8+49}{14}\\ =\dfrac{57}{14}\)
\(b,\dfrac{5}{8}\times\dfrac{3}{2}\\ =\dfrac{5\times3}{8\times2}\\ =\dfrac{15}{16}\)
\(c,\dfrac{3}{2}\times\dfrac{5}{6}-\dfrac{2}{3}\\ =\dfrac{3\times5}{2\times6}-\dfrac{2}{3}\\ =\dfrac{15}{12}-\dfrac{2}{3}\\ =\dfrac{15}{12}-\dfrac{8}{12}\\ =\dfrac{15-8}{12}\\ =\dfrac{7}{12}\)
\(d,\dfrac{13}{15}+\dfrac{2}{5}:\dfrac{3}{4}\\ =\dfrac{13}{15}+\dfrac{2}{5}\times\dfrac{4}{3}\\ =\dfrac{13}{15}+\dfrac{2\times4}{5\times3}\\ =\dfrac{13}{15}+\dfrac{8}{15}\\ =\dfrac{13+8}{15}\\ =\dfrac{21}{15}\\ =\dfrac{7}{5}\)
a) Tìm a - b + c biết 2a - 1, b + 3, 5 - 2c TLT với 2 , 3 , 4 và a + b - c = 2
b) Tìm a - b + c biết 2a - 1, b + 3, 5 - 2c TLN với 2 , 3 , 4 và a + b - c = 2
1. Thực hiện phép tính:
a) (x-3/4)2 b) (3t+1)2
c) (2a+1/3)(1/3-2a) d) (a3-2)2
2. Khai triển các biểu thức sau:
a) (a/3+4y)2 b) (1/x-3/y)2
c) (x/2-yz/6)(x/2+yz/6) d) (x2+2/5 y)(x2-2/5 y)
3. Viết các biểu thức dưới dạng bình phương của một tổng hoặc hiệu:
a) 4x2+4x+1 b) 9x2-12x+4
c) ab2+1/4a2b4+1 d) 16uv2-8u2v4-1
Bài 3:
a) \(4x^2+4x+1=\left(2x+1\right)^2\)
b) \(9x^2-12x+4=\left(3x-2\right)^2\)
c) \(ab^2+\dfrac{1}{4}a^2b^4+1=\left(\dfrac{1}{2}ab^2+1\right)^2\)
Bài 3:
a: \(4x^2+4x+1=\left(2x+1\right)^2\)
b: \(9x^2-12x+4=\left(3x-2\right)^2\)
c: \(\dfrac{1}{4}a^2b^4+ab^2+1=\left(\dfrac{1}{2}ab^2+1\right)^2\)
d:
Cho 2a-1, 3b-2 TLT với 2 và 3, 1+b và 3-2c TLN với 1/4, 1/5 va a-b+c=2. Tính a+b-2c
Tìm x, biết:
a.1/4+3/4.x=3/2-x
b.3/5.x-1/4=1/10.x-1/2
c.3x-3/5=x-1/4
d.3/2.x-2/5=1/3.x-1/4
`@` ` \text {Ans}`
`\downarrow`
`a,`
`1/4+3/4*x=3/2-x`
`=> 1/4 + 3/4x - 3/2 + x = 0`
`=> (1/4 - 3/2) + (3/4x + x) = 0`
`=> -5/4 + 7/4x = 0`
`=> 7/4x = 5/4`
`=> x = 5/4 \div 7/4`
`=> x = 5/7`
Vậy, `x=5/7`
`b,`
`3/5*x-1/4=1/10*x-1/2`
`=> 3/5x - 1/4 - 1/10x + 1/2 = 0`
`=> (3/5x - 1/10x) + (-1/4 + 1/2)=0`
`=> 1/2x + 1/4 = 0`
`=> 1/2x = -1/4`
`=> x = -1/4 \div 1/2`
`=> x = -1/2`
Vậy, `x=-1/2`
`c,`
`3x-3/5=x-1/4`
`=> 3x - 3/5 - x + 1/4 = 0`
`=> (3x - x) - (3/5 - 1/4) = 0`
`=> 2x - 7/20 = 0`
`=> 2x = 0,35`
`=> x = 0,35 \div 2`
`=> x = 7/40`
Vậy, `x=7/40`
`d,`
`3/2*x-2/5=1/3*x-1/4`
`=> 3/2x - 2/5 - 1/3x + 1/4 = 0`
`=> (3/2x - 1/3x) - (2/5 - 1/4) = 0`
`=> 7/6x - 3/20 = 0`
`=> 7/6x = 3/20`
`=> x = 3/20 \div 7/6`
`=> x = 9/70`
Vậy, `x=9/70`
`@` `\text {Kaizuu lv uuu}`
Rút gọn:
a) A=(4-5x)2-(3+5x)2
b) B=(3x-1)(1+3x)-(3x+1)2
c) C=(2x+5)3-(2x-5)3-(120x2+49)
d) D=(2a-b+2)3-6(2a-b+2)2+12(2a-b+2)-8-(2a-b)3
a) A=(4-5x)2-(3+5x)2=(4-5x-3-5x)(4-5x+3+5x)=(-25x+1)1=-25x+1
B=(3x-1)(1+3x)-(3x+1)2=9x2-1-(3x+1)2=9x2-1-(9x2+6x+1)=9x2-1-9x2-6x-1=-6x-2=-2(3x+1)
Trong các biểu thức dưới đây, biểu thức nào có giá trị lớn nhất?
A, 3/2 - 4/5
B, 2/3 + 1/2
C, 1/2 x 3/7
D, 2/3 : 3/2
phân tích đa thức thành nhân tử
1)ab(a+b)-2bc(b-2c)-2ca(a-2c)-4abc
2)a^2b+2ab^2+4b^2c+4bc^2+2c^2a+ca^2+4abc
3)(x^2-6x+5)(x^2-10x+21)-20
4)4(x^2+x+1)^2+5x(x^2+x+1)+x^2
5)x^4+5x^3-12x^2+5x+1
6)(x+1)(x-4)(x+2)(x-8)+4x^2
7)4x^3+5x^2+10x-12
8)(x+3)^2(3x+8)(3x+10)-8
9)(4x+1)(12x-1)(3x+2)(x+1)-4