Giải phương trình:
a) \(\sqrt{x^2+4}=\sqrt{2x+3}\)
b) \(\sqrt{x^2-6x+9}=2x-1\)
c) \(\sqrt{4x+12}=\sqrt{9x+17}-5\)
d) \(\sqrt{4x^2-6x+1}=\left|2x-5\right|\)
\(\sqrt{\left(x-2\right)\left(x+3\right)}=5\)
\(\sqrt{\left(2x+3\right)^2}=x-5\)
\(\sqrt{x^2-6x+9}=x+7\)
\(\sqrt{2x-3}=x-1\)
\(a,\sqrt{x}-x=0\)
\(b,x-\sqrt{2x-9}=6\)
\(c,3x-\sqrt{6x-\left(3-2\right)}=0\)
GPT:
1, \(6x^2+10x-92+\sqrt{\left(x+70\right)\left(2x^2+4x+16\right)}=0\)
2,\(x+3+\sqrt{1-x^2}=3\sqrt{x+1}+\sqrt{1-x}\)
a)\(\sqrt{9\left(2-3x\right)^2}=6\)
b)\(\sqrt{4x^2-9}=2\sqrt{2x+3}\)
c)\(\sqrt{10\left(x-3\right)}=\sqrt{20}\)
d)\(\sqrt{x^2+6x+9}=3x-6\)
\(\left(5\right)\sqrt{x+3-4\sqrt{x-1}}\sqrt{x+8+6\sqrt{x-1}}=5\)
\(\left(6\right)2x^2+3x+\sqrt{2x^2+3x+9}=33\)
\(\left(7\right)\sqrt{3x^2+6x+12}+\sqrt{5x^4-10x^2+30}=8\)
\(\left(8\right)x+y+z+8=2\sqrt{x-1}+4\sqrt{y-2}+6\sqrt{z-3}\)
Giải phương trình:
1)\(\sqrt{9x^2-15x+9}+\sqrt{x^3+3x^2-3x+1}+x=2\)
2)\(\sqrt{3x^2-1}+\sqrt{x^2-x}-x\sqrt{x^2+1}=\frac{1}{2\sqrt{2}}\)
3)\(\sqrt{-4x^4y^2+16x^2y+9}-\sqrt{x^2y^2-2y^2}=2\left(x^2+\frac{1}{x^2}\right)\left(vớix>0\right)\)
4)\(x^3-3x^2+2\sqrt{\left(x+2\right)^3}-6x=0\)
5)\(4x^2-11x+10=\left(x+1\right)\sqrt{2x^2-6x+2}\)
help me now
\(\left(x-x^2\right)\left(\sqrt{x-2}+2\right)=2x^3-5x^2+5x-2\)
\(\sqrt{2x-3+\sqrt{4x-7}}+\sqrt{2x+9+5\sqrt{4x-7}}=4\sqrt{2}\)
\(\left(\sqrt{3x+1}-\sqrt{x+2}\right)\left(\sqrt{3x^2+7x+2}+9\right)=6x-3\)
Câu 5: Giải phương trình:
a. \(x\)\(\sqrt{3}\) - \(\sqrt{3}\) = \(1-x\)
b. \(7-\sqrt{x^2-6x+9}=0\)
c. \(\sqrt{9\left(x-2\right)^2}\) - 45 = 0