\(P=\left|9-2x\right|+\left|2x-1\right|+\frac{5}{2}\left|2x-1\right|+\left|x+5\right|+\left|\frac{1}{2}-x\right|\)
\(P\ge\left|9-2x+2x-1\right|+\left|x+5+\frac{1}{2}-x\right|+\frac{5}{2}\left|2x-1\right|\)
\(P\ge\frac{27}{2}+\frac{5}{2}\left|2x-1\right|\ge\frac{27}{2}\)
\(\Rightarrow P_{min}=\frac{27}{2}\) khi \(x=\frac{1}{2}\)
1) Rút gọn
\(12\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
2)
Tìm min:
\(\left|2x+4\right|+\left|2x+6\right|+\left|2x+8\right|\)
Tìm x sao cho: \(\left(x-2\right)^3+\left(2x+1\right)^3-9\left(x+1\right)^3=-16\)
giải pt sau
a)\(\left(x-2\right)\left(x-3\right)+2x=\left(x-2\right)^2-2\)
b) \(\left(x-1\right)^2+3x\left(x-1\right)+7=\left(2x-1\right)^2+5\left(x-3\right)\)
c)\(5\left(x^1-2x-1\right)+2\left(3x-2\right)=5\left(x+1\right)^2\)
d)\(\left(x-1\right)\left(x^2+x+1\right)-2x=x\left(x-1\right)\left(x+1\right)\)
Tìm x biết: \(2x.\left(8x-1\right)^2.\left(4x-1\right)=9\)
thực hiện phép tính:
a,\(\left(2x^3-x^2+5x\right):x\)
b,\(\left(3x^4-2x^3+x^2\right):\left(-2x\right)\)
c,\(\left(-2x^5+3x^2-4x^3\right):2x^2\)
d,\(\left(x^3-2x^2y+3xy^2\right):\left(\dfrac{-1}{2}x\right)\)
e,\(\left(3\left(x-y\right)^5-2\left(x-y\right)^4+3\left(x-y\right)^2\right):5\left(x-y\right)^2\)
Chứng minh biểu thức sau không phụ thuộc vào giá trị của biến :
\(A=x.\left(5x-3\right)-x^2.\left(x-1\right)+x.\left(x^2-6x\right)-10+3x+x.\left(x^2+x+1\right)-x^2.\left(x+1\right)-x+5\)
\(B=3.\left(2x-1\right)-5.\left(x-3\right)+6.\left(3x-4\right)-19x+x.\left(3x+12\right)-\left(7x-20\right)+x^2.\left(2x-3\right)-x.\left(2x^2+5\right)\)
Rút gọn A=\(\frac{2x-3}{\left(2x-1\right)\left(2x-5\right)}+\frac{\left(2x-8\right)}{\left(2x-5\right)\left(4-x\right)}-\frac{3}{2x-1}:\frac{21+2x-8x^{^2}}{\left(2x+3\right)\left(2x-1\right)}+1\)
GIÚP MÌNH VƠI Dâng cần gấp Ạ
thực hiện phép tính:
a,\(\left(x+2\right)^9:\left(x+2\right)^6\)
b,\(\left(x-y\right)^4:\left(x-2\right)^3\)
c,\(\left(x^2+2x+4\right)^5:\left(x^2+2x+4\right)\)
d,\(2\left(x^2+1\right)^3:\dfrac{1}{3}\left(x^2+1\right)\)
Giải phương trình
\(\left(x^2+x+1\right)^2=3\left(x^4+x^2+1\right)\)
\(x\left(x+1\right)\left(x-1\right)\left(x+2\right)=24\)
\(2x\left(8x-1\right)^2\left(4x-1\right)=9\)
\(\left(12x+7\right)^2\left(3x+2\right)\left(2x+1\right)=3\)
