A, tính:
6/1+x + 4/x-1 + 10/1-x2
B, tính:
2/x. (x+2) + 2/(x+2).(x+4) + 2/(x+4).(x+6) + 1/x/6
a: \(=\dfrac{6}{x+1}+\dfrac{4}{x-1}-\dfrac{10}{\left(x-1\right)\left(x+1\right)}\)
\(=\dfrac{6x-6+4x+4-10}{\left(x-1\right)\left(x+1\right)}=\dfrac{10x-12}{\left(x-1\right)\left(x+1\right)}\)
b: \(=\dfrac{1}{x}-\dfrac{1}{x+2}+\dfrac{1}{x+2}-\dfrac{1}{x+4}+\dfrac{1}{x+4}-\dfrac{1}{x+6}+\dfrac{6}{x}=\dfrac{1}{x}+\dfrac{6}{x}=\dfrac{7}{x}\)
Giải phương trình: A=( \(\dfrac{x+1}{x-1}\)+ \(\dfrac{4}{x-1}\)-\(\dfrac{x-1}{x+1}\)) : \(\dfrac{x^2-4x+4}{x^2+x}\)
b/ Tính giá trị của A nếu x=1/2
c/ tính gtnn của a
Điền dấu <, > , =
3/4 m2.......570 dm2 5 giờ ....... 1/5 ngày
1/10 km2 .........10 000m2
Tính nhanh :
1/2 x 3 + 1/3 x 4 + 1/4 x 5 + ... + 1/49 x 50
Tính cách hợp lí :
a) 739 x 2 + 739 + 739 x 3 + 739 x 4
b) 801 x 67 + 34 x 801 - 801
Tìm x biết :
4/5 : 5 : 8/25 : 1/x = 1/3 + 1/5
Giúp mik vs pleaseeeee , mai mik nộp r
\(\dfrac{1}{2.3}+\dfrac{1}{3.4}+...+\dfrac{1}{49.50}\)
\(=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{49}-\dfrac{1}{50}\)
\(=\dfrac{1}{2}-\dfrac{1}{50}=\dfrac{12}{25}\)
cho x-1/x=4 Tính giá trị của F =x^2/x^4+1,G=x^4+1/x^4
Tính: 1/x-1-1/x+1-2/x^2+1-4/x^4+1-8/x^8+1-16/x^16+1
thực hiện phép tính 1/x-1-1/x+1-2/x^2+1-4/x^4+1-8/x^8+1-16/x^16+1
tính bằng cách thuận tiện nhất
5,5+3/4-5+1/4
5/2x2/3+1/4:3/2
tính x ;
435-[ x +16]=425: 17
x x 1/4-3/4=6:3/4
x +2 3/4=5 2/3
5,5 + \(\dfrac{3}{4}\) - 5 + \(\dfrac{1}{4}\)
(5,5 - 5) + (\(\dfrac{3}{4}\) + \(\dfrac{1}{4}\))
= 0,5 + 1
= 1,5
\(\dfrac{5}{2}\) x \(\dfrac{2}{3}\) + \(\dfrac{1}{4}\) : \(\dfrac{3}{2}\)
= \(\dfrac{5}{2}\) x \(\dfrac{2}{3}\) + \(\dfrac{1}{4}\) x \(\dfrac{2}{3}\)
= (\(\dfrac{5}{2}\) + \(\dfrac{1}{4}\)) x \(\dfrac{2}{3}\)
= (\(\dfrac{10}{4}\) + \(\dfrac{1}{4}\)) x \(\dfrac{2}{3}\)
= \(\dfrac{11}{4}\) x \(\dfrac{2}{3}\)
= \(\dfrac{11}{6}\)
Tính \(x\):
435 - [\(x\) + 16] = 425 : 17
435 - [\(x\) + 16] = 25
[\(x\) + 16] = 435 - 25
\(x\) + 16 = 410
\(x\) = 410 - 16
\(x\) = 394
\(x\) x \(\dfrac{1}{4}\) - \(\dfrac{3}{4}\) = 6 : \(\dfrac{3}{4}\)
\(x\) \(\times\) \(\dfrac{1}{4}\) - \(\dfrac{3}{4}\) = 6 x \(\dfrac{4}{3}\)
\(x\) x \(\dfrac{1}{4}\) - \(\dfrac{3}{4}\) = 8
\(x\) x \(\dfrac{1}{4}\) = 8 + \(\dfrac{3}{4}\)
\(x\) x \(\dfrac{1}{4}\) = \(\dfrac{32}{4}\) + \(\dfrac{3}{4}\)
\(x\) x \(\dfrac{1}{4}\) = \(\dfrac{35}{4}\)
\(x\) = \(\dfrac{35}{4}\) : \(\dfrac{1}{4}\)
\(x\) = \(\dfrac{35}{4}\) x 4
\(x\) = 35
tính nhanh giá trị biểu thức tại x=1
\(\dfrac{1}{x-4}\).\(\dfrac{x+4}{x+1}\)-\(\dfrac{x+4}{x+1}\).\(\dfrac{8}{x^2-16}\)
Tính nhanh giá trị biểu thức tại x = 1
\(\dfrac{1}{x-4}\).\(\dfrac{x-4}{x+1}\) - \(\dfrac{x+4}{x+1}\).\(\dfrac{8}{x^2-16}\)
\(=\dfrac{1}{x+1}-\dfrac{8}{\left(x+1\right)\left(x-4\right)}=\dfrac{x-4-8}{\left(x+1\right)\left(x-4\right)}=\dfrac{x-12}{\left(x+1\right)\left(x-4\right)}=\dfrac{-11}{2\cdot\left(-3\right)}=\dfrac{11}{6}\)
Tính a. 1/x+1 - 1/x-1 - 2x2/1-x2
b. x/x+2 + 4(x+1)/x2+2x
Tính tổng: A= 2/x(x+2) + 2/(x+2)(x+4) + 2/(x+4)(x+6) + 2/(x+6)(x+8)