\(\left(\sqrt{x+1}-\sqrt{x-2}\right)\left(1+\sqrt{x^2-x-2}\right)\)=3
gpt
GPT : \(\sqrt{x-2}-\sqrt{x+1}=\sqrt{2x-1}-\sqrt{x+3}\)
\(\sqrt{1-x}+\sqrt{1+x}+2\sqrt{1-x^2}=4\) gpt giúp mình nha
1. Phân tích ra thừa số
a.\(\sqrt{ab}-\sqrt{ac}+\sqrt{bc}+b\)
b.x-y-3(\(\sqrt{x}-\sqrt{y}\))
c. \(\sqrt{x^2-y^2}\)-x+y
2. GPT
a.\(\sqrt{\sqrt{5}-\sqrt{3}x}\)=\(\sqrt{8+2\sqrt{15}}\)
b.\(\sqrt{2+\sqrt{3+\sqrt{x}}}=3\)
Gpt:
a.\(\sqrt{2x^2+8x+6}+\sqrt{x^2-1}=2x+2\)
b. \(\sqrt{4x+1}-\sqrt{3x-2}=\dfrac{x+3}{5}\)
c.\(\sqrt{x^2-3x+2}-\sqrt{x+3}=\sqrt{x-2}+\sqrt{x^2+2x-3}\)
Gpt:
a.\(\sqrt{x-1}-\sqrt{5x-1}=\sqrt{3x-2}\)
b. \(\sqrt{x-2}-3\sqrt{x^2-4}=0\)
GPT a) \(\sqrt{x+2-3\sqrt{2x-5}}+\sqrt{x-2-\sqrt{2x-5}}=2\sqrt{2}\)
b) \(\sqrt{x}+\sqrt{y-z}+\sqrt{z-x}=\dfrac{1}{2}\left(y+3\right)\)
GPT:
\(\left(\sqrt{x+3}-\sqrt{x-2}\right)\left(1+\sqrt{x^2+x-6}\right)=5\)
Help me!
1) GHPT \(\left\{{}\begin{matrix}\sqrt{x+1}+\sqrt{2-y}=\sqrt{3}\\\sqrt{2-x}+\sqrt{y+1}=\sqrt{3}\end{matrix}\right.\)
2) GPT \(7x^2+7x=\sqrt{\dfrac{4x+9}{28}}\)
3) tìm số dương x,y,z thỏa \(x+y+z=\sqrt{xy}+\sqrt{yz}+\sqrt{zx}=2016\)