Tính:
\(E=\frac{\sqrt{\sqrt{2}-1}.\sqrt[4]{3+2\sqrt{2}}+\sqrt[3]{\sqrt{x}\left(x+12\right)-6x-8}}{\frac{x-\sqrt{x}}{\sqrt{x}-1}-\sqrt{\sqrt{2}+1}.\sqrt[4]{3-2\sqrt{2}}}\)
\(\sqrt{2-x^2+2x}+\sqrt{-x^2-6x-8}=1+\sqrt{3}\)
Giải phương trình:
1, \(\sqrt{x^2+2x}+\sqrt{2x-1}=\sqrt{3x^2+4x+1}\)
2, \(x^3-3x^2+2\sqrt{\left(x+2\right)^3}-6x=0\)
3, \(2x^3-x^2-3x+1=\sqrt{x^5+x^4+1}\)
4, \(5\sqrt{x^4+8x}=4x^2+8\)
5, \(\left(x^2+4\right)\sqrt{2x+4}=3x^2+6x-4\)
6, \(\left(x^2-6x+11\right)\sqrt{x^2-x+1}=2\left(x^2-4x+7\right)\sqrt{x-2}\)
Giải phương trình
\(\sqrt{x^2+2x+1}+\sqrt{x^2+4x+4}+\sqrt{x^2+6x+9}+\sqrt{x^2+16x+64}=8\)
Giai phương trình: \(\sqrt{x^2-6x+8}+2\sqrt{x+3}=\sqrt{x^2+x-6}+2\sqrt{x-4}\)
tìm x biết:
a. \(\sqrt{9x^2-6x+1}=\sqrt{x^2+8x+16}\)
b. \(\sqrt{x+3+14\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}}=5\)
Giải các phương trình sau:
a, \(\sqrt{x^2-6x+9}+\sqrt{2x^2+8x+8}=\sqrt{x^2-2x+1}\)
b, \(\sqrt{x-3-2\sqrt{x-4}}+\sqrt{x-4\sqrt{x-1}}=1\)
c. \(\sqrt{x+8-6\sqrt{x-1}}=4\)
d, \(\sqrt{x\left(x-3\right)}+\sqrt{x\left(x-4\right)}=2\sqrt{x^2}\)
e, \(\sqrt{\left(x+3\right)\left(x+2\right)}+\sqrt{\left(x+3\right)\left(x-1\right)}=2\sqrt{\left(x+3\right)^2}\)
giải phương trình e đang cần gấp cảm ơn
1) \(\sqrt[3]{x+24}\)+\(\sqrt{12-x}\)=6
2) \(\sqrt{x^2-x+4}\)-2=x(x-1)
3) 8(x2+2)=3\(\left(\sqrt{x^3+8}+2x\right)\)
4)x+\(\sqrt{x+3}\)=\(\sqrt{5x^2-x-3}\)
5)x2+4x+7=(x+4)\(\sqrt{x^2+7}\)
6\(\sqrt{x\sqrt{6x-9}}\)+\(\sqrt{x-\sqrt{6x-9}}\)=\(\sqrt{6}\)
Giải pt
\(\sqrt{2x^2+6x-8}+\sqrt{2x^2+4x-6}-3\sqrt{x+4}=3\sqrt{x+3}+1\)