giải pt \(\sqrt{x+2\sqrt{x-1}}+\sqrt{x-2\sqrt{x-1}}\ge\dfrac{3}{2}\)
Giải pt: \(\sqrt[3]{x}+\sqrt[3]{2x-3}=\sqrt[3]{12\left(x-1\right)}\)
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
b1, giải pt
a, \(\sqrt[3]{x+1}-1=x\)
b, \(\sqrt[3]{1-x}+\sqrt[3]{1+x}=2\)
c, \(\sqrt[3]{x}+\sqrt[3]{2x-3}=\sqrt[3]{12\left(x-1\right)}\)
giải pt
a) \(\frac{\sqrt{x^3+1}}{x+3}+\sqrt{x+1}=\sqrt{x^2-x+1}+\sqrt{x+3}\)
b) \(\sqrt[3]{2x+1}+\sqrt[3]{2x+2}+\sqrt[3]{2x+3}=0\)
Giải PT: \(\sqrt[3]{x+2}+\sqrt[3]{x+1}=\sqrt[3]{2x^2}+\sqrt[3]{2x^2+1}\)
1. Giải pt:
\(\sqrt{x^2-2x+1}-\sqrt{x^2-6x+9}=10\)
2. Giải pt:
\(\sqrt{x+2\sqrt{x-1}}=3\sqrt{x-1}-5\)
giải pt
1) \(\sqrt{x+3}+\sqrt{3x+1}+4\sqrt{5-x}=12\)
2) \(x+4\sqrt{x+3}+2\sqrt{3-2x}=11\)
3) \(4x\sqrt{x+3}+2\sqrt{2x-1}=4x^2+3x+3\)
4) \(x^4-x^2+3x+5-2\sqrt{x+2}=0\)
giải pt ạ
\(\sqrt{x-2+\sqrt{2x-5}}+\sqrt{x+2+3\sqrt{2x-5}}=7\sqrt{2}\)