Giải pt
\(\left(x+17\right)\sqrt{4-x}+\left(20-x\right)\sqrt{x+1}-9\sqrt{\left(4-x\right)\left(x+1\right)}=3\)
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: \(\sqrt{1+\sqrt{1-x^2}}=\left[\left(\sqrt{1+x}\right)^3-\left(\sqrt{1-x}\right)^3\right]=2+\sqrt{1-x^2}\)
giải hệ pt \(\int^{x+y+xy=5}_{\left(x+1\right)^3+\left(y+1\right)^3=35}\)
giải pt \(\sqrt{\left(3+2\sqrt{2}\right)^x}+\sqrt{\left(3-2\sqrt{2}\right)^x}=6\)
Giải pt:
\(4\left(x+1\right)\left(\sqrt{x+3}+\sqrt{2-x}\right)=-x^2+12x+13\)
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\(\sqrt{x\left(x+1\right)}-\sqrt{x\left(x+2\right)}=\sqrt{x\left(x-3\right)}\)
giải pt : \(x=\sqrt{\left(2-x\right)\left(3-x\right)}+\sqrt{\left(3-x\right)\left(5-x\right)}+\sqrt{\left(5-x\right)\left(2-x\right)}\)
Giải pt \(\left(\sqrt{x+3}+\sqrt{6-x}\right)\left(6\sqrt{2x+6}-2x-13\right)=6\sqrt{2}\)