Gpt: \(\sqrt{x+5}+\sqrt{3-x}-2\left(\sqrt{15-2x-x^2}+1\right)=0\)
gpt:
\(x-\sqrt{x-8}-3\sqrt{x}+1=0\)
\(x^3+\frac{x^3}{(x-1)^3}+\frac{3x^2}{x-1}-2=0\)
gpt ( đặt ẩn phụ không hoàn toàn)
9, \(2\sqrt{1-x}+\sqrt{x+1}+3\sqrt{1-x^2}=3-x\)
10, \(4\sqrt{1-x}+3\sqrt{1-x^2}=x+6+5\sqrt{1+x}\).
GPT: \(2x\sqrt{8x+1}+\sqrt{x^2+8}=6x\sqrt{x}+3\)
a,GPT \(\sqrt{x^3+12}-3x=\sqrt{x^2+5}-5\)
b,Cho x,y,z>0 thỏa mãn \(\sqrt{x}+\sqrt{y}+\sqrt{z}=3\)TÌM GTNN \(P=\frac{\sqrt{x}+1}{y+1}+\frac{\sqrt{y}+1}{z+1}+\frac{\sqrt{z}+1}{x+1}\)
GPT: \(\left(\sqrt{x+5}-\sqrt{x+2}\right)\left(1+\sqrt{x^2+7x+10}\right)=3\)
gpt:
\(\sqrt{x}+\sqrt[4]{x\left(1-x\right)}+\sqrt[4]{\left(1-x\right)^3}=\sqrt{1-x}+\sqrt[4]{x^3}+\sqrt[4]{x^2\left(1-x\right)}\)
GPT:
1, \(6x^2+10x-92+\sqrt{\left(x+70\right)\left(2x^2+4x+16\right)}=0\)
2,\(x+3+\sqrt{1-x^2}=3\sqrt{x+1}+\sqrt{1-x}\)
GPT : \(\sqrt[3]{x+1}+\sqrt[3]{x+2}=1+\sqrt[3]{x^2+3x+2}\)