\(4\left(x^2+4x\right)^2+31\left(x^2+4x\right)+60=3\)
\(t=x^2+4x\)
\(4t^2+31t+57=0\)
\(\orbr{\begin{cases}t=\frac{-31-7}{8}=\frac{-19}{4}\\t=\frac{-31+7}{8}=-3\end{cases}}\)
\(x^2+4x+\frac{19}{4}=0\Rightarrow vn\)
\(x^2+4x+3=0\Rightarrow\orbr{\begin{cases}x=-1\\x=-3\end{cases}}\)
Giai phuong trinh giup minh voi:
\(\frac{\left(3x+1\right)\left(3x-2\right)}{3}+5\left(3x-1\right)=\frac{2\left(2x+1\right)\left(3x+1\right)}{3}+2x\left(3x+1\right)\)
\(\frac{\left(x-2\right)^2}{3}-\frac{2x-1}{4}=4-\frac{\left(2x-3\right)^2}{6}\)
Giai phuong trinh
\(\frac{\left(x-2\right)^2}{3}-\frac{2x+1}{4}=4-\frac{\left(2x-3\right)^2}{6}\)
Giai phuong trinh
Giai phuong trinh
\(a,\frac{1}{2x-3}-\frac{3}{x\left(2x-3\right)}=\frac{5}{x}\)
\(b,\frac{x+2}{x-2}-\frac{1}{x}=\frac{2}{x\left(x-2\right)}\)
\(c,\frac{x+1}{x-2}+\frac{x-1}{x+2}=\frac{2\left(x^2+2\right)}{x^2-4}\)
\(d,\left(2x+3\right)\left(\frac{3x+8}{2-7x}+1\right)=\left(x-5\right)\left(\frac{3x+8}{2-7x}+1\right)\)
Giai phuong trinh
a.\(\left(x+1\right)^3+\left(x-2\right)^3=\left(2x-1\right)^3\)
b.\(x^4=24x+32\)
c.\(\left(x-6\right)^4+\left(x-8\right)^4=16\)
giai bat phuong trinh
c) \(\frac{(3x-2)^2}{3}-\frac{\left(2x+1\right)^2}{3}\le x\left(x+1\right)\)
d) \(\frac{2x-3}{4}-\frac{x+1}{3}\ge\frac{1}{2}-\frac{3-x}{5}\)
Giai phuong trinh
\(-2=\frac{2}{\left(x^2+5\right)\left(x^2+4\right)}+\frac{2}{\left(x^2+4\right)\left(x^2+3\right)}+\frac{2}{\left(x^2+3\right)\left(x^2+2\right)}+\frac{2}{\left(x^2+2\right)\left(x^2+1\right)}\)
giải phuong trinh chứa giá trị tuyệt đối
\(\left|x-5\right|=\left|2x-3\right|\)
giai phuong trinh\(\left(x+5\right)+\left(x-5\right)+\left(x.5\right)+\left(x\div5\right)=180\)
