Giải các phương trình sau:
1) \(\sqrt{3x^2+5x+8}-\sqrt{3x^2+5x+1}=1\)
2) \(x^2-2x-12+4\sqrt{\left(4-x\right)\left(2+x\right)}=0\)
3) \(3\sqrt{x}+\dfrac{3}{2\sqrt{x}}=2x+\dfrac{1}{2x}-7\)
4) \(\sqrt{x}-\dfrac{4}{\sqrt{x+2}}+\sqrt{x+2}=0\)
5)\(\left(x-7\right)\sqrt{\dfrac{x+3}{x-7}}=x+4\)
6) \(2\sqrt{x-4}+\sqrt{x-1}=\sqrt{2x-3}+\sqrt{4x-16}\)
7) \(\sqrt{x+2\sqrt{x-1}}+\sqrt{x-2\sqrt{x-1}}=\dfrac{x+3}{2}\)
Giúp mình với ajk, mink đang cần gấp
a,\(\sqrt{ }\)2x+3 + \(\sqrt{ }\)x+1 = 3x + 2\(\sqrt{ }\)(2x+3)(x+1)
b, \(\sqrt{ }\)3x -2 + \(\sqrt{ }\)x-1 = 4x -9 +2\(\sqrt{ }\)3x²-5x+2
c, \(\sqrt{ }\)x+2\(\sqrt{ }\)x-1 - \(\sqrt{ }\)x-2\(\sqrt{ }\)x-1 =-2
d, \(\sqrt{ }\)x² +12 + 5= 3x + \(\sqrt{ }\)x² +5
Giải pt:
\(3x^2+2x+3=\left(3x+1\right)\sqrt{x^2+3}\) \(x^2+3x+4=\left(x+3\right)\sqrt{x^2+x+2}\)
\(\left(4x-1\right)\sqrt{x^2+1}=2x^2+2x+1\) \(15x^2+2\left(x+1\right)\sqrt{x+2}=2-5x\)
\(\left\{{}\begin{matrix}\sqrt{5x^2+2xy+2y^2}+\sqrt{2x^2+2xy+5y^2}=3x+3y\\\sqrt{x+2y+1}+2\sqrt[3]{12x+7y+8}=2xy+x+5\end{matrix}\right.\)
Giải phương trình:
a. \(4\sqrt{x+1}-1=3x+2\sqrt{1-x}+\sqrt{1-x^2}\)
b. \(\left(x+2\right)\left(\sqrt{2x+3}-2\sqrt{x+1}\right)+\sqrt{2x^2+5x+3}-1=0\)
\(3x^2-5x-2+2\left(x-1\right)\sqrt{2x^2-3x+1}=0\)
gpt :A= \(2x^2-5x-1=\sqrt{x+2}+\sqrt{4-x}\)
B= \(\sqrt{x^2-2x+5}+2\sqrt{4x+5}=x^3-2x^2+5x+4\)
giải pt \(\sqrt{3x^2-5x+1}-\sqrt{x^2-2}=\sqrt{3x^2-3x+3}-\sqrt{x^2-3x+4}\)
Giải phương trình:
a) \(5x^2-10x=4\left(x-1\right)\sqrt{x^2-2x+2}\)
b) \(\sqrt{2x^2+22x+29}-x-2=2\sqrt{2x+3}\)
c) \(x^3-7x^2+9x+12=\left(x-3\right)\left(x-2+5\sqrt{x-3}\right)\left(\sqrt{x-3}-1\right)\)