mình nghĩ đề vậy mới làm đc :))
\(x-2\sqrt{1-x}-4\sqrt{2x+4}+10=0\)
\(\Leftrightarrow1-x-2\sqrt{1-x}+1+2x+4-4\sqrt{2x+4}+4=0\)
\(\Leftrightarrow\left(\sqrt{1-x}-1\right)^2+\left(\sqrt{2x+4}-2\right)^2=0\)
\(\Leftrightarrow\left\{{}\begin{matrix}\sqrt{1-x}=1\\\sqrt{2x+4}=2\end{matrix}\right.\Rightarrow x=0\)
Gpt: \(x-4\sqrt{2x+4}-2\sqrt{1-x}+9=0\)
\(\sqrt{2x^2+x+9}+\sqrt{2x^2-x+1}=x+4\) gpt giúp mình nha
Gpt :
1) \(\sqrt{x-1}+\sqrt{4x-4}-\sqrt{25x-25}+2=0\)
2) \(\sqrt{16x+16}-\sqrt{9x+9}+\sqrt{4x+s}+\sqrt{x+1}=16\)
3)\(\sqrt{4x+20}+\sqrt{x+5}-\frac{1}{3}\sqrt{9x+45}=4\)
4) \(\frac{1}{3}\sqrt{2x}-\sqrt{8x}+\sqrt{18x}-10=2\)
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) \(\sqrt{25x^2-9}-2\sqrt{5x+3}=0\)
b) \(\dfrac{\sqrt{x-3}}{\sqrt{2x+1}}=2\)
c) \(\sqrt{x^2-2x+1}+\sqrt{x^2-4x+4}=3\)
Giải phương trình
a,\(\sqrt{x^2+x-20}=\sqrt{x-4}\)
b,\(\sqrt{x+1}+\sqrt{2-x}=\sqrt{6}\)
c,\(\sqrt{x+2\sqrt{x-1}=2}\)
d,\(\sqrt{2x-2+2\sqrt{2x-3}+}\sqrt{2x+13+8\sqrt{2x-3}=}5\)
e, \(\sqrt{x^2-1}-x^2+1=0\)
f,\(\sqrt{x^2-9}+\sqrt{x^2-6x+9}=0\)
g,\(\sqrt{x^2-2x+1}+\sqrt{x^2-4x+4}=3\)
Bài 1: giải p.trình
a,\(\sqrt{x^2-4x+4}=1\)
b,\(\sqrt{1-4x+4x^2}=5\)
c,\(\sqrt{a\left(1-2x+x^2\right)}-6=0\)
d,\(\sqrt{9x^2}=2x+1\)
e,\(\sqrt{9-6x+x^2}=x\)
Gpt:
a. \(13\sqrt{x-1}+9\sqrt{x+1}\) = 16x
b. \(x^4+\sqrt{x^2+43}=43\)
Giải phương trình :
a, \(\sqrt{x+1}=x-1\)
b, \(x-\sqrt{2x+3}=0\)
c, \(\sqrt{x-2}-3\sqrt{\left(x-2\right)\left(x+2\right)}=0\)
d, \(\sqrt{\sqrt{3}-x}=x\sqrt{\sqrt{3}+x}\)
e, \(2\sqrt{x+3}=9x^2-x-4\)
f, \(\sqrt{x+1}-\sqrt{x-7}=\sqrt{12-x}\)
g, \(\sqrt{2x+5}-\sqrt{3x-5}=2\)
h, \(\sqrt{x}-\sqrt{x-1}-\sqrt{x-4}+\sqrt{x+9}=0\)
i, \(x^2+2x-\sqrt{x^2+2x+1}-5=0\)
k, \(\sqrt{x+8-6\sqrt{x+1}}=4\)
l, \(\sqrt{x^2-8x+16}+\sqrt{x^2-10x+25}=9\)
Làm được phần nào thì giúp mình nha đang cần gấp !!!
