b,\(\sqrt{16\left(x+1\right)}-\sqrt{9\left(x+1\right)}+\sqrt{4\left(x+1\right)}-16\sqrt{x+1}=0\) (dk \(x\ge-1\)
\(\Leftrightarrow\sqrt{x+1}\left(4-3+2-16\right)=0\)
\(\Leftrightarrow\sqrt{x+1}.-13=0\)
\(\Leftrightarrow x=-1\)
giải phương trình
a)\(\sqrt{x-1}+\sqrt{4x-4}-\sqrt{25x-25}+2=0\)
b)\(\sqrt{16x+16}-\sqrt{9x+9}+\sqrt{4x+4}+\sqrt{x+1}=16\)
c)\(\sqrt{4x+20}+\sqrt{x+5}-\dfrac{1}{3}\sqrt{9x+45}=4\)
d)\(\dfrac{1}{3}\sqrt{2x}-\sqrt{8x}+\sqrt{18x}-10=2\)
giải các phương trình sau:
\(1,\sqrt{18x}-6\sqrt{\dfrac{2x}{9}}=3-\sqrt{\dfrac{x}{2}}\)
\(2,\sqrt{3x}-2\sqrt{12x}+\dfrac{1}{3}\sqrt{27x}=-4\)
3, \(3\sqrt{2x}+5\sqrt{8x}-20-\sqrt{18}=0\)
\(4,\sqrt{16x+16}-\sqrt{9x+9}=1\)
\(5,\sqrt{4\left(1-3x\right)}+\sqrt{9\left(1-3x\right)}=10\)
\(6,\dfrac{2}{3}\sqrt{x-3}+\dfrac{1}{6}\sqrt{x-3}-\sqrt{x-3}=\dfrac{-2}{3}\)
a) \(\sqrt{4x^2-9}=2\sqrt{x+3}\)
b) \(\sqrt{4x+20}+3\sqrt{\dfrac{x-5}{9}}-\dfrac{1}{3}\sqrt{9x-45}=4\)
c) \(\dfrac{2}{3}\sqrt{9x-9}-\dfrac{1}{4}\sqrt{16x-16}+27\sqrt{\dfrac{x-1}{81}}=4\)
d)\(5\sqrt{\dfrac{9x-27}{25}}-7\sqrt{\dfrac{4x-12}{9}}-7\sqrt{x^2-9}+18\sqrt{\dfrac{9x^2-81}{81}}=0\)
giải các phương trình sau:
a. \(2\sqrt{2x}-5\sqrt{8x}+7\sqrt{18x}=28\)
b. \(\sqrt{4x-20}+\sqrt{x-5}-\dfrac{1}{3}\sqrt{9x-45}=4\)
c. \(\sqrt{\dfrac{3x-2}{x+1}}=3\)
\(\sqrt{25x+25}-\sqrt{16x+16}+\sqrt{9x+9}-\sqrt{4x+4}+\sqrt{x+1}=27\)
\(\sqrt{4x}\) - \(\sqrt{9x}\) + \(\sqrt{16x}\) = 2
b, \(\sqrt{4x}\) + \(2\sqrt{16x}\) - \(\sqrt{25x}\) = 1,2
c, \(\sqrt{16\left(x-1\right)}\) - \(\sqrt{x-1}\) + \(\sqrt{49\left(x-1\right)}\) =5
* Giải phương trình:
a. \(x+\sqrt{x^2-4x+4}=\dfrac{1}{2}\)
b. \(\sqrt{9x^2-9}+\sqrt{4x^2-4}=\sqrt{16x^2-16}+2\)
Giải các phương trình sau:
\(a,\sqrt{x+1}=\sqrt{2-x}\)
\(b,\sqrt{36x-36}-\sqrt{9x-9}-\sqrt{4x-4}=16-\sqrt{x-1}\)
\(c,\sqrt{16x-16}-\sqrt{9x-9}+\sqrt{4x-4}+\sqrt{x-1}=8\)
1. Giải phương trình
a,\(\sqrt{4x^2+4x+1}=16\)
b,\(\sqrt{x^2-\sqrt{8}x+2}=x-1\)
c,\(\sqrt{x^2+5}=x+1\)
d,\(\sqrt{2x+5}=5-x\)
e,\(\sqrt{7+\sqrt{2x}}=3+\sqrt{5}\)
f,\(\sqrt{16x+16}-\sqrt{9x+9}+\sqrt{4x+4}=16-\sqrt{x+1}\)
