Giải pt: \(\sqrt{x+2\sqrt{x+1}}+\sqrt{x-2\sqrt{x-1}}=\sqrt{x-1}+8\)
giải pt: \(\sqrt{x+3}+\sqrt{1-x}=2-8\sqrt{\left(x+3\right)\left(x+1\right)}\)
giải pt:
\(\left|\sqrt{x+1}\right|+\left|\sqrt{x-1}-1\right|=\sqrt{x-1}+8\)
giải pt\(\sqrt[3]{7x+1}-\sqrt[3]{x^2-x-8}+\sqrt[3]{x^2-8x-1}=2\)
Giải PT.
a)\(\sqrt[3]{x+4}-\sqrt[3]{x-6}=1\)
b) \(\sqrt[3]{x^2}-8\sqrt[3]{x}=20\)
c) \(\frac{x\sqrt[3]{x}-1}{\sqrt[3]{x^2}-1}-\frac{\sqrt[3]{x^2}-1}{\sqrt[3]{x}+1}=4\)
Giải pt:
1) x - 2\(\sqrt{x - 1}\) = 16
2) \(\sqrt{1\:-\:x}\) - \(\sqrt{x - 3}\) = 0
3) \(\sqrt{x - 4}\) + 2 = 7
4) x - \(\sqrt{x - 2\sqrt{x\:-\:1}}\) = 0
5) \(\sqrt{x - 2}\) - \(\sqrt{x^2 - 2x}\) = 0
6) \(\sqrt{3\:-\:2\sqrt{2}}\) - \(\sqrt{x^2 + 2x\sqrt{2}+2}\) = 0
Giải các PT sau:
\(a,\sqrt{x-2\sqrt{x-1}}-\sqrt{x-1}=1\)
\(b,\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8+6\sqrt{x-1}}=1\)
\(c,\sqrt{x+\sqrt{2x-1}}+\sqrt{x-\sqrt{2x-1}}=\sqrt{2}\)
\(d,\sqrt{x+\sqrt{6x-9}}+\sqrt{x-\sqrt{6x-9}}=\sqrt{6}\)
giải pt: \(x-\sqrt{x-8}-3\sqrt{x}+1=0\)
giải pt \(\sqrt{x+2\sqrt{x-1}}+\sqrt{x-2\sqrt{x-1}}\ge\dfrac{3}{2}\)