\(pt\Leftrightarrow3\left(\sqrt{x-2}-1\right)-2\left(x-3\right)+\sqrt{x+6}+3=0\)
\(\Leftrightarrow\frac{3\left(x-3\right)}{\sqrt{x-2}+1}-2\left(x-3\right)+\frac{x-3}{\sqrt{x+6}-3}=0\)
\(\Leftrightarrow\left(x-3\right)\left(\frac{3}{\sqrt{x-2}+1}+\frac{1}{\sqrt{x+6}-3}-2\right)=0\)
Bạn giải nốt nhá
gpt:\(6+\sqrt{x+6}=2x+3\sqrt{x-2}\)
gpt \(\sqrt{x^2+3x}+2\sqrt{x+2}=2x+\sqrt{x+\frac{6}{x}}+5\)
gpt:\(\sqrt{3x^2+6x+4}+\sqrt{2x^2+4x+11}=\left(1-x\right)\left(x+3\right)\)
\(\sqrt{3x^2+6x+7}+\sqrt{5x^2+10x+21}=5-x^2-2x\)
\(\sqrt{x^2-x+2}+\sqrt{x^2-3x+6}=2x\)
GPT
a) \(\sqrt{x}+\sqrt{x+1}=\frac{1}{\sqrt{x}}\)
b) \(\frac{x+3+2\sqrt{x^2-9}}{2x-6+\sqrt{x^2-9}}=\sqrt{2}\)
Gpt
\(x^2-3x-6+\sqrt{x^2-3}=0\)
\(\sqrt[3]{24+x}+\sqrt{12-x}=6\)
gpt \(2010-\sqrt[3]{6+\sqrt[3]{6+\sqrt[3]{2016-x}}}=x\)
gpt bằng pp đặt ẩn phụ k hoàn toàn:
1, \(2\sqrt{2x+4}+4\sqrt{2-x}=\sqrt{9x^2+16}\)
2, \(\left(3x+2\right)\sqrt{2x-3}=2x^2+3x-6\)
GPT:
\(\sqrt{x^2-x+19}+\sqrt{7x^2+8x+13}+\sqrt{13x^2+17x+7}-3\sqrt{3}x=6\sqrt{3}\)
GPT
A,\(\sqrt{X+1}+\sqrt{4-X}+\sqrt{4+3X-X^2=5}\)
B,\(\sqrt{X^2-2X+5}=2-\left(X^2-1\right)^4\)
C,\(\left(X-5\right)^3=5\sqrt[3]{2X-9}-3X+6\)
D,\(\left(2X+1\right)\sqrt{\frac{X+1}{X}}=X+2+\sqrt[3]{2X^2+X^3}\)
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