Gpt:
a.\(\sqrt{x-1}-\sqrt{5x-1}=\sqrt{3x-2}\)
b. \(\sqrt{x-2}-3\sqrt{x^2-4}=0\)
Giải các phương trình sau;
a) \(\sqrt{3}.x-2=x \)
b)\(\sqrt{3x-2}=2- \sqrt{3} \)
c)4\(\sqrt{x+1}=x^{2}-5x+14 \)
a,\(\sqrt{x^2-5x+4}+\sqrt{x+1}=\sqrt{x-2}+\sqrt{x^2-2x-3}\)
b,\(\sqrt{x^2-3x+2}+\sqrt{x^2-4x+3}=2\sqrt{x^2-5x=4}\)
c,\(\sqrt{4x^2+9x+5}+\sqrt{2x^2+x-1}=\sqrt{x^2-1}\)
Tìm x
\(a.\sqrt{2+\sqrt{3+\sqrt{x}}=3}\)
\(b.\sqrt{x^2-4}+\sqrt{x+2}=0\)
\(c.\sqrt{x^2-5x+6}+\sqrt{x+1}=\sqrt{x-2}+\sqrt{x^2-2x-3}\)
Gpt:
a.\(\sqrt{2x^2+8x+6}+\sqrt{x^2-1}=2x+2\)
b. \(\sqrt{4x+1}-\sqrt{3x-2}=\dfrac{x+3}{5}\)
c.\(\sqrt{x^2-3x+2}-\sqrt{x+3}=\sqrt{x-2}+\sqrt{x^2+2x-3}\)
a. \(2x^2-8x-3\sqrt{x^2-4x-5}=12\)
b. \(\left(x-3\right)\left(x+2\right)-3\sqrt{x^2-x+1}+9=0\)
c. 12\(-\sqrt{4-3x}=|3x-4|\)
d. \(\sqrt{3x-2}+\sqrt{x-1}=4x-9+2\sqrt{3x^2-5x+2}\)
Giải:
1)a) \(17\sqrt{3x-1}=3x\)
b) \(\sqrt{2+\sqrt{3x-5}}=\sqrt{x+1}\)
c)\(\sqrt{\dfrac{5x+7}{x+3}}=4\)
2)Giai pt :
a) x+y+12=\(4\sqrt{x}+6\sqrt{y}-1\)
b) \(\sqrt{x-a}+\sqrt{y-b}+\sqrt{z-c}=\dfrac{1}{2}\left(x+y+z\right)\)
c)\(\sqrt{x+\sqrt{14x-4y}}+\sqrt{x-\sqrt{14x-4y}}=\sqrt{14}\)
d)x-\(4\sqrt{2x+2}-2\sqrt{2-x+9}=0\)
Giải các phương trình sau:
a) \(\sqrt{25x^2-9}-2\sqrt{5x+3}=0\)
b) \(\dfrac{\sqrt{x-3}}{\sqrt{2x+1}}=2\)
c) \(\sqrt{x^2-2x+1}+\sqrt{x^2-4x+4}=3\)
Giải các phương trình:
a) \(\sqrt{x^2-3x+2}=\sqrt{x-1}\)
b) \(\sqrt{x^2-4x+4}=\sqrt{4x^2-12x+9}\)
c) \(\sqrt{x^2-5x+6}=\sqrt{x-2}\)
d) \(\sqrt{4x^2-4x+1}=\sqrt{x^2-6x+9}\)