Giải các pt sau:
a) \(\sqrt{x+8}+\frac{9x}{\sqrt{x+8}}-6\sqrt{x}=0\)
b) \(x^4-2x^3+\sqrt{2x^3+x^2+2}-2=0\)
c) \(3x\sqrt[3]{x+7}\left(x+\sqrt[3]{x+7}\right)=7x^3+12x^2+5x-6\)
d) \(4x^2+\left(8x-4\right)\sqrt{x}-1=3x+2\sqrt{2x^2+5x-3}\)
e) \(16x^2+19x+7+4\sqrt{-3x^2+5x+2}=\left(8x+2\right)\left(\sqrt{2-x}+2\sqrt{3x+1}\right)\)
f) \(\left(5x+8\right)\sqrt{2x-1}+7x\sqrt{x+3}=9x+8-\left(x+26\right)\sqrt{x-1}\)
g) \(\sqrt[3]{3x+1}+\sqrt[3]{5-x}+\sqrt[3]{2x-9}-\sqrt[3]{4x-3}=0\)
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 phương trình
\(\sqrt[3]{7x+1}-\sqrt[3]{x^2-x-8}+\sqrt[3]{x^2-8x-1}=2\)
Tim x de bt co nghia:
\(B=\frac{\sqrt{16-x^2}}{\sqrt{2x+1}}+\sqrt{x^2-8x+8}\)
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:
1. \(\dfrac{1}{x}+\dfrac{1}{\sqrt{2-x^2}}=2\)
2. \(\sqrt{x+1}-\sqrt{\dfrac{x-1}{x}}=1\)
3. \(\sqrt{x^2-\dfrac{7}{x^2}}+\sqrt{x-\dfrac{7}{x^2}}=x\)
4. \(\sqrt[3]{7x+1}+\sqrt[3]{x^2-x+8}+\sqrt[3]{x^2-8x-1}=2\)
Giair cacs pt sau:
a. \(x-\sqrt{x^4-2x^2+1}=1\)
b. \(\sqrt{x-2}+\sqrt{x-3}=-5\)
c. \(\sqrt{x^2-2x+1}+\sqrt{x^2-6x+9}=1\)
d. \(\sqrt{x+5}+\sqrt{2-x}=x^2-25\)
e. \(\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}}=1\)
f. \(\sqrt{8x+1}+\sqrt{3x-5}=\sqrt{7x+4}+\sqrt{2x-2}\)
Giải pt: \(\left(3\sqrt{x}+\sqrt{x+8}\right)\left(4+3\sqrt{x^2+8x}\right)=16\left(x-1\right)\)
Giải phương tình:
a) \(x^2-7x+\sqrt{x^2-7x+8}=12
\)
b)\(\sqrt{3x^2+12x+16}+\sqrt{y^2-4y+13}=5\)
c)\(\sqrt{x-3}+\sqrt{5-x}=x^2-8x+18\)