Giải các phương trình
a)\(\dfrac{15}{4}-2,5:\left|\dfrac{3}{4}x+\dfrac{1}{2}\right|=3\)
b) \(6,5-\dfrac{9}{4}:\left|x+\dfrac{1}{3}\right|=2\)
c) \(\left|\dfrac{5}{4}x-\dfrac{7}{2}\right|-\left|\dfrac{5}{8}x+\dfrac{3}{5}\right|=0\)
cho biểu thức
\(P=\left[\dfrac{x^2-2x+4}{x-2}\div\left(x^3+8\right)+\dfrac{x-2}{x^3+8}\cdot\dfrac{x^2-2x+4}{x^2-4}\right]\cdot\left(x^2-4\right)\)
a, rút gọn P
b, tính P biết \(x=-\dfrac{1}{2}\)
thực hiện phép tính
\(\dfrac{12x^3}{y^4}.\dfrac{2y^5}{x^2}\)
\(\dfrac{5x-10}{4x-8}:\dfrac{2x+4}{4-2x}\)
\(\dfrac{3x+10}{x+3}.\dfrac{2x+4}{x+3}\)
Giair phương trình
\(8\left(x+\dfrac{1}{x}\right)+4\left(x^2+\dfrac{1}{x^2}\right)^2=\left(x+4\right)^2+4\left(x+\dfrac{1}{x}\right)^2\left(x^2+\dfrac{1}{x^2}\right).\)
giúp mik vs mn ơi
giải phương trình
1)\(\left(x-2\right)\left(3+2x\right)-2x\left(x+5\right)=6\)
2)\(x^2-4-\left(x-5\right)\left(x-2\right)=0\)
3)\(\dfrac{x-3}{3}-\dfrac{x+2}{2}=\dfrac{x}{6}\)
4)\(\dfrac{x+2}{x-2}-\dfrac{x-2}{x+2}+\dfrac{3x-1}{x-4}-6\)
5)\(\dfrac{96}{x^2-16}=\dfrac{2x-1}{x+4}+\dfrac{3x-1}{x-4}-6\)
\(\dfrac{2-\left(ab+bc+ca\right)}{\left(a-\dfrac{4}{3}\right)^2+\left(b-\dfrac{4}{3}\right)^2+\left(c+\dfrac{4}{3}\right)^2}\)Cho a+b+c=2.Tính gtbt:
Giải phương trình:
a) \(\dfrac{5x+3}{2}\) + \(\dfrac{3x-8}{4}\) = 4
b) \(\dfrac{5x-6}{3}\) - \(\dfrac{5x+6}{12}\) = 1
a,\(\dfrac{x+1}{x-3}+\dfrac{-2x^2+2x}{x^2-9}+\dfrac{x-1}{x+3}\)
b,\(\dfrac{1-2x}{6x^3y}+\dfrac{3+2y}{6x^3y}+\dfrac{2x-4}{6x^3y}\)
c,\(\dfrac{5}{2x^2y}+\dfrac{3}{5xy^2}+\dfrac{x}{3y^3}\)
d,\(\dfrac{5}{4\left(x+2\right)}+\dfrac{8-x}{4x^2+8x}\)
c,\(\dfrac{x^2+2}{x^3+1}+\dfrac{2}{x^2+x+1}+\dfrac{1}{1-x}\)
\(\dfrac{x+3}{x+2}\)-\(\dfrac{x+4}{x+3}\)=\(\dfrac{x+5}{x+4}-\dfrac{x+6}{x+5}\)