Rut gon bieu thuc:
P=\(\frac{xy-\sqrt{x^2-1}.\sqrt{y^2-1}}{xy+\sqrt{x^2-1}.\sqrt{y^2-1}}\) voi \(x=\frac{1}{2}.\left(a+\frac{1}{a}\right)\); y=\(\frac{1}{2}.\left(b+\frac{1}{b}\right)\) va \(a\ge1;b\ge1\)
cho bieu thuc P=\(\left(\dfrac{2}{1+\sqrt{x}}+\sqrt{1}-x\right)\)\(^{\div}\)\(\left(\dfrac{2}{\sqrt{1-x}}+1\right)\)
rút gọn P
GIÚP MÌNH NHA MÌNH CẦN GẤP VÀO NGÀY MAI
tim gia tri nho nhat\(\sqrt{x^2+4x+4}\)+\(\sqrt{x^2-4x+4}\)
giải pt:
\(\dfrac{1}{2}\sqrt{x-2}-4\sqrt{\dfrac{4x-8}{9}}+\sqrt{9x+18}-5=0\)
Tìm x thỏa mãn:
\(\left(\sqrt{x}+1\right)\dfrac{\sqrt{x}+2}{\sqrt{x}+1}-\sqrt{x}-4\sqrt{x-1}+26=-6x+10\sqrt{5x}\)
Tìm x :
a, \(\sqrt{x^2-2x}=\sqrt{2-3x}\)
b, \(\sqrt{x-3}-2\sqrt{x^2-9}=0\)
c, \(\sqrt{4x-20}+\sqrt{x-5}-\frac{1}{3}\sqrt{9x-45}=4\)
d, \(\frac{1}{2}\sqrt{x-1}-\frac{3}{2}\sqrt{9x-9}+24\sqrt{\frac{x-1}{64}}=-17\)
e, \(\sqrt{9x^2+18}+2\sqrt{x^2+2}-\sqrt{25x^2+50}+3=0\)
f, \(\sqrt{x^2-4}-x+2=0\)
1) Giải phương trình: a) \(5\sqrt{\dfrac{9x-27}{25}}-7\sqrt{\dfrac{4x-12}{9}}-7\sqrt{x^2-9}+18\sqrt{\dfrac{9x^2-81}{91}}=0\) b) \(\sqrt{x}+\sqrt{y-1}+\sqrt{z-2}=\dfrac{1}{2}\left(x+y+z\right)\)
Tìm x biết :
\(\sqrt{x-1}+\sqrt{4x-4}+\sqrt{9x-9}=18\)
làm gúp mk nh thanks m.n :>
a,\(\sqrt{x^2-6x+9}=3\) b,\(\sqrt{4x+20}+\sqrt{x+5}-\dfrac{1}{3}\sqrt{9x+45}=4\)
TÍNH: \(15\sqrt{x+1}-\sqrt{9x+9}=3\sqrt{4x+4}+12\)