\(\sqrt{1-x}+\sqrt{4-4x}-\frac{1}{3}\sqrt{16-16x}+5\)
\(=\sqrt{1-x}+\sqrt{4\left(1-x\right)}-\frac{1}{3}\sqrt{16\left(1-x\right)}+5\)
\(=\sqrt{1-x}+2\sqrt{1-x}-\frac{4}{3}\sqrt{1-x}+5\)
\(=\sqrt{1-x}\left(1+2-\frac{4}{3}\right)+5\)
\(=\sqrt{1-x}.\frac{5}{3}+5\)
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 phương trình
1)\(\sqrt{9\left(x-1\right)}=21\)
2)\(\sqrt{1-x}+\sqrt{4-4x}-\dfrac{1}{3}\sqrt{16-16x}+5=0\)
3)\(\sqrt{2x}-\sqrt{50}=0\)
4)\(\sqrt{4x^2+4x+1}=6\)
5)\(\sqrt{\left(x-3\right)^2}=3-x\)
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)\(5\sqrt{\dfrac{9x-27}{25}}-7\sqrt{\dfrac{4x-12}{9}}-7\sqrt{x^2-9}+18\sqrt{\dfrac{9x^2-81}{81}}=0\)
\(\sqrt{4x}\) - \(\sqrt{9x}\) + \(\sqrt{16x}\) = 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
Gpt:
\(3\sqrt{2}-5\sqrt{8x}+\sqrt{18x}=28\)
\(\sqrt{16x+16}-\sqrt{9x+9}+\sqrt{4x+4}=16\sqrt{x+1}\)
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,\(\sqrt{16x+16}-\sqrt{9x+9}+\sqrt{4x+4}=16-\sqrt{x+1}\)
\(\sqrt{25x+25}-\sqrt{16x+16}+\sqrt{9x+9}-\sqrt{4x+4}+\sqrt{x+1}=27\)
tìm x biết
a)\(\frac{3\sqrt{x}-5}{2}-\frac{2\sqrt{x}-7}{3}+1=\sqrt{x}\)
b)\(\sqrt{9x^2+45}-\frac{1}{12}\sqrt{16x^2+80}+3\sqrt{\frac{x^2+5}{16}}-\frac{1}{4}\sqrt{\frac{25x^2+125}{9}}=9\)
* Giải phương trình:
a. \(x+\sqrt{x^2-4x+4}=\dfrac{1}{2}\)
b. \(\sqrt{9x^2-9}+\sqrt{4x^2-4}=\sqrt{16x^2-16}+2\)
