\(\Leftrightarrow-x^2-2x-1=3x-x^2+2x\)
=>-2x-1=5x
=>-7x=1
hay x=-1/7
\(\Leftrightarrow-x^2-2x-1=3x-x^2+2x\)
=>-2x-1=5x
=>-7x=1
hay x=-1/7
Tìm x:
a)\(\text{(x-5)(x+5)-(x+3)^2+3(x-2)^2=(x+1)^2-(x+4)(x-4)+3x^2}\)
\(\text{b)(2x+3)^2}+\left(x-1\right)\left(x+1\right)=5\left(x+2\right)^2-\left(x-5\right)\left(x+1\right)+\left(x+4\right)^2\)
Tìm x, biết:
a) \(x\left(x-1\right)-x^2+2\text{x}=5\)
b) \(8\left(x-2\right)-2\left(3\text{x}-4\right)=2\)
c) \(\left(3\text{x}+2\right)\left(x-1\right)-3\left(x+1\right)\left(x-2\right)=4\)
d) \(\left(3\text{x}-5\right)\left(7-5\text{x}\right)-\left(5\text{x}+2\right)\left(2-3\text{x}\right)=4\)
tìm x, biết:
a) \(\left(3\text{x}+2\right)\left(x-1\right)-3\left(x+1\right)\left(x-2\right)=4\)
b) \(\left(3\text{x}-5\right)\left(7-5\text{x}\right)-\left(5\text{x}+2\right)\left(2-3\text{x}\right)=4\)
\(\text{Tìm x: }2x^2\left(x-1\right)-3x\left(x-1\right)+2016\left(x-1\right)=0\)
Tìm x:
\(x-\text{[}\left(\frac{3x+3}{4}\right):2\text{]}=\text{[}\left(\frac{9+x}{6}\right):2\text{]} \)
\(\text{Tìm x }2x^2\left(x-1\right)-3x\left(x-1\right)+2016\left(x-1\right)=0\)
Tính:
1. \(\frac{x^2}{x^2-x}-\frac{x^2}{x+1}-\frac{2\text{x}}{x^2-1}\)
2. \(\frac{4x^2-3x+5}{x^3-1}-\frac{1-2\text{x}}{x^2+x+1}-\frac{6}{x-1}\)
3. \(\frac{5}{2\text{x}^2+6\text{x}}-\frac{4-3\text{x}^2}{x^2-9}-3\)
4. \(\frac{7}{8x^2-18}+\frac{1}{2\text{x}^2+3\text{x}}-\frac{1}{4\text{x}-6}\)
5. \(\frac{1}{x\left(x+1\right)}+\frac{1}{\left(x+1\right)\left(x+2\right)}+...+\frac{1}{\left(x+9\right)\left(x+10\right)}\)
phan tích nhan tử thanh nhan tử:
a)\(3x^2-12y^2\)
b)\(5xy^2-10xyt+5xt^2\)
c)\(x^3+3x^2+3x+1-27x^3\)
d)\(\text{a}^3x-\text{a}b+b-x\)
e)\(3x^2\left(\text{a}+b+c\right)+36xy\left(\text{a}+b+c\right)+108y^2\left(\text{a}+b+c\right)\)
f)\(\text{a}b\left(\text{a}-b\right)+bc\left(b-c\right)+c\text{a}\left(c-\text{a}\right)\)
g)\(\left(\text{a}+b+c\right)^3-\text{a}^3-b^3-c^3\)
h)\(4\text{a}^2b^2-\left(\text{a}^2+b^2-c^2\right)^2\)
Câu 1:Cho biểu thức P=\(\text{}\text{}\text{}\text{}\left(\dfrac{x}{4-x^2}+\dfrac{2}{x-2}-\dfrac{1}{x+2}\right):\left(1-\dfrac{x+1}{x+2}\right)\)
a) Rút gọn biểu thức P
b) Tính giá trị của P khi cho \(\left|x\right|\)=1
c)Tìm x để P >0
d)Tìm x để P = \(\dfrac{1}{x+1}\)
Câu 2:Cho tam giác ABC vuông tại A, đường cao AH chia cạnh huyền của tam giác thành hai đoạn có độ dài như sau: HB = 25cm, Hc = 36cm. Vậy đường cao AH có độ dài là