`sqrt{2x+3} =5`
`<=> 2x+3 =5^2=25`
`<=> 2x =25-3 = 22`
`x =22/2=11`
2x+3=25 ( vì căn vế trái chuyển sang phải thành mũ)
2x=25-3
2x=22
x=11
\(\sqrt{2x+3}=5\)
\(\Leftrightarrow\sqrt{2x+3}^2=5^2\)
\(2x+3=25\)
\(2x=25-3\)
\(2x=22\)
\(x=11\)
`sqrt{2x+3} =5`
`<=> 2x+3 =5^2=25`
`<=> 2x =25-3 = 22`
`x =22/2=11`
2x+3=25 ( vì căn vế trái chuyển sang phải thành mũ)
2x=25-3
2x=22
x=11
\(\sqrt{2x+3}=5\)
\(\Leftrightarrow\sqrt{2x+3}^2=5^2\)
\(2x+3=25\)
\(2x=25-3\)
\(2x=22\)
\(x=11\)
giải phương trình:
1,\(\sqrt{3x-8}\)-\(\sqrt{x+1}\)=\(\dfrac{2x-11}{5}\)
2,3x2-3x+18=10\(\sqrt{x^3+8}\)
3,\(\sqrt{5+2x}\)+\(\sqrt{5-2x}\)+5=3\(\sqrt{25-4x^2}\)
1) \(\sqrt{x^2}=2x-5\)
2) \(\sqrt{25x^2-10x+1}=2x-6\)
3) \(\sqrt{25-10x+x^2}=2x-5\)
4) \(\sqrt{1-2x+x^2}=2x-1\)
5) \(\sqrt{4x^2+4x+1}=-x-3\)
Giải phương trình:
\(\sqrt{2x-2+2\sqrt{2x-3}}+\sqrt{2x+13+8\sqrt{2x-3}}=5\)
Giải phương trình:
\(\sqrt{2x-2+2\sqrt{2x-3}}+\sqrt{2x+13+8\sqrt{2x-3}}=5\)
Giải phương trình
\(\sqrt{2x-2+2\sqrt{2x-3}}+\sqrt{2x+13-8\sqrt{2x-3}}=5\)
1, \(\sqrt{x-1}+\sqrt{x-4}=5\)
2, \(2x-7\sqrt{x}+5=0\)
3, \(\sqrt{2x+1}+\sqrt{x-3}=2\sqrt{x}\)
4, \(x-4\sqrt{x}+2021\sqrt{x-4}+4=0\)
5, \(\sqrt{2x-3}-\sqrt{x+1}=7\left(4-x\right)\)
\(\sqrt{x+2-3\sqrt{2x-5}+\sqrt{x-2+\sqrt{2x-5}}}\)
1) \(\sqrt{x^2-9}+\sqrt{x^2-6x+9}=0\)
2) \(\sqrt{2x-2+2\sqrt{2x-3}}+\sqrt{2x+13+8\sqrt{2x-3}}=5\)
\(\sqrt{x+\sqrt{2x-5}-2}+\sqrt{x-3\sqrt{2x-5}+2}=3\sqrt{2}\)
giải phương trình
a) \(\left(x+\frac{5-x}{\sqrt{x}+1}\right)^2+\frac{16\sqrt{x}\left(5-x\right)}{\sqrt{x}+1}-16\)\(=0\)
b) \(\sqrt{2x-\frac{3}{x}}+\sqrt{\frac{6}{x}-2x}=1+\frac{3}{2x}\)
c) \(\sqrt{2x+1}+\frac{2x-1}{x+3}-\left(2x-1\right)\sqrt{x^2+4}-\sqrt{2}=0\)
d) \(\sqrt{x+2+3\sqrt{2x-5}}+\sqrt{x-2-\sqrt{2x-5}}=2\sqrt{2}\)