Áp dụng nội suy niu tơn để giải pt sau
\(\frac{2\left(x-\sqrt{2}\right)\left(x-\sqrt{3}\right)}{\left(1-\sqrt{2}\right)\left(1-\sqrt{3}\right)}+\frac{3\left(x-1\right)\left(x-\sqrt{3}\right)}{\left(\sqrt{2}-1\right)\left(\sqrt{2}-\sqrt{3}\right)}+\frac{4\left(x-1\right)\left(x-\sqrt{2}\right)}{\left(\sqrt{3}-1\right)\left(\sqrt{3}-\sqrt{2}\right)}=3x-1\)
Giải pt sau:
\(A=\left(\frac{\sqrt{3}}{x^2+x\sqrt{3}+3}+\frac{3}{x^3-\sqrt{27}}\right)\left(\frac{x}{\sqrt{3}}+\frac{\sqrt{3}}{x}+1\right)\)
giải pt
\(\frac{2\left(x-\sqrt{2}\right)\left(x-\sqrt{3}\right)}{\left(1-\sqrt{2}\right)\left(1-\sqrt{3}\right)}+\frac{3\left(x-1\right)\left(x-\sqrt{3}\right)}{\left(\sqrt{2}-1\right)\left(\sqrt{2}-\sqrt{3}\right)}+\frac{4\left(x-1\right)\left(x-\sqrt{2}\right)}{\left(\sqrt{3}-1\right)\left(\sqrt{3}-2\right)}\)=3x-1
giải pt: \(\left(x+3\right)\left(x+12\right)\left(x-4\right)\left(x-16\right)+20x^2=0\)
giải pt :
\(\frac{\left(x+3\right)\left(x-3\right)}{3}+2=x\left(1-x\right)\)
Giải pt sau :\(\frac{25}{x}+9\sqrt{9x^2-4}=\frac{2}{x}+\frac{18}{x^2+1}\)
B2: Cho x;y >0 .Tìm min \(B=\left(3+\frac{1}{x}\right)\left(3+\frac{1}{y}\right)\left(2+x+y\right)\)
Giải pt: \(x\left(\frac{3-x}{x+1}\right)\left(x+\frac{3-x}{x+1}\right)=2\)
giải pt: \(\left(x-2\right)\left(x+2\right)+4\left(x-2\right)\sqrt{\frac{x+2}{x-2}}=-3\)
GIẢI PT \(3\left(\frac{x+3}{x-2}\right)^2+168\left(\frac{x-3}{x+2}\right)^2-46\frac{x^2-9}{x^2-4}=0\)