\(\Leftrightarrow\frac{3\left(\sqrt{\left(x+5\right)\left(x+2\right)}+1\right)}{\sqrt{x+5}+\sqrt{x+2}}=3\)
đặt \(\sqrt{x+5}=a;\sqrt{x+2}=b\)
\(\Rightarrow\frac{ab+1}{a+b}=1\Leftrightarrow\left(a-1\right)\left(b-1\right)=0\)
thay vào là được
GPT:
a,\(\left(\sqrt{x+5}-\sqrt{x+2}\right)\left(\sqrt{x^2+7x+10}+1\right)=3\)
b,\(x^2+9x+20=2\sqrt{3x+10}\)
GPT:
a .\(x+\sqrt{5+\sqrt{x-1}}=6.\)
b.\(x=\left(2004+\sqrt{x}\right)\left(1-\sqrt{1-\sqrt{x}}\right)^2\)
c. \(3x^2+21x+18+2\sqrt{x^2+7x+7}=2\)
Giải\(\left(\sqrt{x+5}-\sqrt{x+2}\right).\left(1+\sqrt{x^2+7x+10}\right)=3\)
Giai phương trình:\(\left(\sqrt{x+5}-\sqrt{x+2}\right)\left(\sqrt{x^2+7x+10}+1\right)=3\)
Gpt: \(5x^2+3x+6=\left(7x+1\right)\sqrt{x^2+3}\)
gpt:
\(\sqrt{x}+\sqrt[4]{x\left(1-x\right)}+\sqrt[4]{\left(1-x\right)^3}=\sqrt{1-x}+\sqrt[4]{x^3}+\sqrt[4]{x^2\left(1-x\right)}\)
Giải phương trình :
\(\left(\sqrt{x+5}-\sqrt{x-2}\right)\left(1+\sqrt{x^2+7x+10}\right)=3\)
GPT \(\sqrt{x\left(x+1\right)}+\sqrt{x\left(x+2\right)}=\sqrt{x\left(x-3\right)}\)
Gpt: \(\sqrt{x+5}+\sqrt{3-x}-2\left(\sqrt{15-2x-x^2}+1\right)=0\)
