\(\Leftrightarrow\) |x| = 3x - 2
TH1: x = 3x - 2 \(\Leftrightarrow\) 2x = 2 \(\Leftrightarrow\) x = 1
TH2: x = 2 - 3x \(\Leftrightarrow\) 4x = 2 \(\Leftrightarrow\) x = 2
Vậy \(\left\{{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)
\(7+12\sqrt{x+1}=x+4\sqrt{x^2+3x+2}\)
\(\sqrt{x^2+x+2}=\dfrac{3x^2+3x+2}{3x+1}\)
a)\(\sqrt{3x-1}=2\) c) \(\sqrt{x^2-4x+4}=3x-1\)
b)\(\sqrt{x+}=2-x\) d)\(\sqrt{x^2+4}=\sqrt{3x+8}\)
a) \(\sqrt{3x^2-5x+7}\)+\(\sqrt{3x^2+x+1}\) = 12x-12
b) \(\sqrt{x^2+33}\)+3 = 2x+\(\sqrt{x^2-12}\)
c) 3x-\(8\sqrt{x+14}\) = \(2\sqrt{2x-3}\) - 28
d) \(x^2\)+\(\sqrt{x+7}\) = 7
\(\sqrt{3x^2-7x+3}-\sqrt{x^2-2}=\sqrt{3x^2-5x-1}-\sqrt{x^2-3x+4}\)
giải phương trình sau:
a) \(4x^2+\left(8x-4\right).\sqrt{x}-1=3x+2\sqrt{2x^2+5x-3}\)
b) \(8x^3-36x^2+\left(1-3x\right)\sqrt{3x-2}-3\sqrt{3x-2}+63x-32=0\)
c) \(2\sqrt[3]{3x-2}-3\sqrt{6-5x}+16=0\)
d) \(\sqrt[3]{x+6}-2\sqrt{x-1}=4-x^2\)
\(\sqrt{2X^2+3X-2}-3\sqrt{X+6}=4-\sqrt{2X^2+11X-6}+3\sqrt{X+2}\)
\(\sqrt{3X^2-7X+3}-\sqrt{X^2-2}=\sqrt{3X^2-5X-1}-\sqrt{X^2-3X+4}\)
\(8x^2+\sqrt{3x^2+6x+5}=74-\sqrt{36x-5}\)
\(\sqrt{3x^2-7x+3}-\sqrt{x^2-2}=\) = \(\sqrt{3x^2-5x-1}-\sqrt{x^2-3x+4}\)
\(3x^3-17x^2-8x+9+\sqrt{3x-2}-\sqrt{7-x}\) = 0
GIẢI PHƯƠNG TRÌNH
giải pt: \(\sqrt{3x^2-5x+1}-\sqrt{x^2-2}=\sqrt{3\left(x^2-x-1\right)}-\sqrt{x^2-3x+4}\)
giải phương trình:
\(a,\sqrt{2x-3}+\sqrt{5-2x}=3x^2-12x+14\)
\(b,x^2-2x-x\sqrt{x}-2\sqrt{x}+4=0\)
\(c,3x^2+21x+18+2\sqrt{x^2+7x+7}=2\)
\(d,\frac{2\sqrt{2}}{\sqrt{x+1}}+\sqrt{x}=\sqrt{x+9}\)
\(c,\sqrt{3x^2-5x+1}-\sqrt{x^2-2}=\sqrt{3\left(x^2-x-1\right)}-\sqrt{x^2-3x+4}\)
tìm x\(\sqrt{x+3+2\sqrt{3x}}-\sqrt{x+3-2\sqrt{3x}}=2\sqrt{2}\)
