\(\sqrt{\left(x-1\right)^2+4}+\sqrt{\left(x+1\right)^2+9}=\sqrt{29}\)
\(the,a=\left(x-1\right)^2+4\)
\(\sqrt{a}+\sqrt{a+5}=\sqrt{29}\)
\(a+a+5+2\sqrt{a^2+5a}=29\)
\(2a+2\sqrt{a^2+5a}=24\)
\(a+\sqrt{a^2+5a}=12\)
\(\sqrt{a^2+5a}=12-a\)
\(a^2+5a=144-24a+a^2\)
\(29a=144\)
\(a=\frac{144}{29}\)
giải phương trình :
\(\sqrt{x^2-2x+5}+\sqrt{x^2+2x+10}=\sqrt{29}\)
Giải phương trình :
\(2\sqrt{2x-2}+5\sqrt{6x-29}+\sqrt{10-x}+\left(9-x\right)\sqrt{x-8}=x^2-15x+88\)
Tìm điều kiện có nghĩa:
1) \(\sqrt{2x^2}\)
2) \(\sqrt{-x}\)
3) \(\sqrt{-x^2-3}\)
4) \(\sqrt{x^2+2x+3}\)
5) \(\sqrt{-a^2+8a-16}\)
6) \(\sqrt[]{16x^2-25}\)
7) \(\sqrt{4x^2-49}\)
8) \(\sqrt{8-x^2}\)
9) \(\sqrt{x^2-12}\)
10) \(\sqrt{x^2+2x-3}\)
11) \(\sqrt{2x^2+5x+3}\)
12) \(\sqrt{\dfrac{4}{x-1}}\)
13) \(\sqrt{\dfrac{-1}{x-3}}\)
14) \(\sqrt{\dfrac{-3}{x+2}}\)
15) \(\sqrt{\dfrac{1}{2a-1}}\)
16) \(\sqrt{\dfrac{2}{3-2a}}\)
17) \(\sqrt{\dfrac{-1}{2a-5}}\)
18) \(\sqrt{\dfrac{-2}{3-5a}}\)
19) \(\sqrt{\dfrac{-a}{5}}\)
20) \(\dfrac{1}{\sqrt{-3a}}\)
1.\(\sqrt[4]{x-\sqrt{x^2-1}}+\sqrt{x+\sqrt{x^2-1}}=2\)
2. \(\left(4x-1\right)\sqrt{x^2+1}=2x^2+2x+1\)
3. \(5\sqrt{x}+\frac{5}{2\sqrt{x}}=2x+\frac{1}{2x}+2\)
4.\(3x^2-x+48=\left(3x-10\right)\sqrt{x^2+15}\)
5.\(x.\frac{3x}{\sqrt{2x-3}}-\sqrt{2x-3}=2\)
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\(\sqrt{25-4x^2}\)
Giải giúp mình với, mình đang gấp lắm.
\(\sqrt{9x-13}+\sqrt{\frac{x}{4}-\frac{1}{2}}=1\\ \sqrt{5-x}+\sqrt{x-5}=2\\ \sqrt{x^2-2x+5}+\sqrt{x^2-2x+10}=5\\ \)
Giải phương trình
a) \(\sqrt{2x-5}=\sqrt{x+3}\)
b) \(\sqrt{2x^2-x+4}-2=x\)
c) \(\sqrt{1-x}=\sqrt{3x+2}\)
d) \(\sqrt{2x-3}=\sqrt{x-2}\)
e) \(\sqrt{x-2}-\sqrt{3+2x}=0\)
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) \(\sqrt{4x^2+4x+1}=-x-3\)
a)\(\sqrt{6-2x}-2x=6+\sqrt{x+3}\)
b) \(2\sqrt{x+5}+2x+10=\sqrt{x+4}\)
