a: =>2x-1=5
=>2x=6
=>x=3
b: \(\Leftrightarrow\sqrt{3}\left(x^2-2\right)=0\)
=>x^2=2
=>\(x=\pm\sqrt{2}\)
c: =>x-5=9
=>x=14
d: \(\Leftrightarrow\sqrt{x+2}\left(\sqrt{x-2}+\sqrt{x+2}\right)=0\)
=>x+2=0
=>x=-2
Giải PT:
a) -5x+7\(\sqrt{x}\) +12=0
b) \(\dfrac{1}{3}\)\(\sqrt{4x^2-20}\) +2\(\sqrt{\dfrac{x^2-5}{9}}\) -3\(\sqrt{x^2-5}=0\)
c) \(\sqrt{9x+27}+5\sqrt{x+3}-\dfrac{3}{4}\sqrt{16x+48}=5\)
d) \(\sqrt{49x-98}-14\sqrt{\dfrac{x-2}{49}}=3\sqrt{x-2}+8\)
Bài 1 GIẢI PHƯƠNG TRÌNH:
a) \(\sqrt{x-5}=\sqrt{3-x}\)
b) \(\sqrt{4-5x}=\sqrt{2-5x}\)
c) x2+4x+5=2\(\sqrt{2x+3}\)
d) \(\sqrt{x^2-2x+1}=\sqrt{4x^2-4x+1}\)
Bài 1 : giải phuơng trình:
a) \(2\sqrt{3}-\sqrt{4+x^2}=0\)
b) \(3\sqrt{2x}+5\sqrt{8x}-20-\sqrt{18x}=0\)
c) \(\sqrt{4\left(x+2\right)^2}=8\)
d) \(\sqrt{x-2}-3\sqrt{x^2-4}=0\)
e) \(\sqrt[3]{4x+1}=\sqrt[3]{-7}\)
Giải phương trình:(Nhớ tìm điều kiện)
a) \(\sqrt{2x-1}=\sqrt{5}\)
b)\(\sqrt{x-5}\) = 3
c)\(\sqrt{4x^2+4x+1}=6\)
d)\(\sqrt{\left(x-3\right)^2}=3-x\)
e)\(\sqrt{2x+5}=\sqrt{1-x}\)
f)\(\sqrt{x^2-x}=\sqrt{3-x}\)
g)\(\sqrt{2x^2-3}=\sqrt{4x-3}\)
h)\(\sqrt{2x-5}=\sqrt{x-3}\)
i)\(\sqrt{x^2-x+6}=\sqrt{x^2+3}\)
giải phương trình
a, \(\sqrt{4x-20}+3\sqrt{\dfrac{x-5}{9}}-\dfrac{1}{3}\sqrt{9x-45}=4\)
b, \(2x-x^2+\sqrt{6x^2-12x+7}=0\)
c, \(\dfrac{9x-7}{\sqrt{7x+5}}=\sqrt{7x+5}\)
Tìm x :
a, \(\sqrt{x^2-2x}=\sqrt{2-3x}\)
b, \(\sqrt{x-3}-2\sqrt{x^2-9}=0\)
c, \(\sqrt{4x-20}+\sqrt{x-5}-\frac{1}{3}\sqrt{9x-45}=4\)
d, \(\frac{1}{2}\sqrt{x-1}-\frac{3}{2}\sqrt{9x-9}+24\sqrt{\frac{x-1}{64}}=-17\)
e, \(\sqrt{9x^2+18}+2\sqrt{x^2+2}-\sqrt{25x^2+50}+3=0\)
f, \(\sqrt{x^2-4}-x+2=0\)
Tìm x biết,
a) \(\sqrt{x^2-9}-3\sqrt{x-3}=0\)
b) \(\sqrt{x^2-4}-2\sqrt{x-2}\)=0
c)\(\sqrt{\frac{2x-3}{x-1}}=2\)
d) \(\sqrt{\frac{4x+3}{x+1}}=3\)
e)\(\frac{\sqrt{2x-3}}{\sqrt{x-1}}=2\)
f)\(\frac{\sqrt{4x+3}}{\sqrt{x+1}}=3\)
1) \(\left(\sqrt{12}-6\sqrt{3}+\sqrt{24}\right)\sqrt{6}-\left(\frac{5}{2}\sqrt{2}+12\right)\)
2) \(\frac{26}{2\sqrt{3}+5}-\frac{4}{\sqrt{3}-2}\)
3) \(\sqrt{x^2-6x+9}=2x\)
4) \(\sqrt{4x^2+1}=2x-1\)
5) \(\sqrt{x^2-4x+4}=\sqrt{x^2-2x+1}\)
Giải phương trình
\(a.\dfrac{3}{4}\sqrt{4x}-\sqrt{4x}+5=\dfrac{1}{4}\sqrt{4x}\)
\(b.\sqrt{3-x}-\sqrt{27-9x}+1,25.\sqrt{48-16x}=6\)
\(c.\dfrac{5\sqrt{x}-2}{8\sqrt{x}+2,5}=\dfrac{2}{7}\)
\(d.\sqrt{9x^2+12x+4}=4\)
