gpt \(\sqrt{x+8+2\sqrt{x+7}}+\sqrt{x+1-\sqrt{x+7}}=4\)
\(\sqrt{x+2\sqrt{x-2}}-\sqrt{x-2\sqrt{x-2}}=-2\)
giải phương trình :
a. \(\sqrt{\left(x-3\right)\left(8-x\right)}+x^2-11x=0\)
b. \(\sqrt{7x-13}-\sqrt{3x-9}=\sqrt{5x-27}\)
c. \(\sqrt{1+x}+\sqrt{8-x}=\sqrt{-x^2+7x+8}+3\)
giải bpt :
\(\frac{\sqrt{2\left(x^2+7x+3\right)}-\sqrt{x^2+x-6}-3\sqrt{x+1}}{1-2\sqrt{x^2-x+1}}\ge0\)
giải pt
a) \(x^2+2x+\left(x-2\right)\sqrt{x^2+2x-6}=6\)
b) \(x^3-7x\sqrt{x^2-x+2}=8-14\sqrt{x^2+2x-2}\)
c) \(\sqrt{\left(x^2+x\right)^2+2x^2+2x}=\left(3-x\right)\sqrt{x^2+x}\)
d) \(x^2+3x+3=3x\left(\sqrt{x^2+3x+4}+1\right)\)
e) \(2x^2-9x+1=2\left(\sqrt{3x^2-9x+1}+x\right)\)
\(Gpt:\sqrt{x^4-7}+\sqrt{x^3-7}=x^2\)
Gpt \(\left(x+1\right)\sqrt{x+8}=x^2+x+4\)
GPT sau: \(x+\sqrt{17-x^2}+x\sqrt{17-x^2}=9\)
GPT sau: \(\sqrt[3]{x+4}=\sqrt{x-1}+2x-3\)
GPT sau: \(x^2+\sqrt[3]{x^4-x^2}=2x+1\)