Các câu hỏi tương tự
Tìm x:\(\left(\sqrt{x+4}-2\right).\left(\sqrt{4-x}+2\right)=-2x\)
Giair phương trình sau :
\(5+x=2\sqrt{\left(4-x\right)\left(2x-2\right)}=4\left(\sqrt{4-x}+\sqrt{2x-2}\right)\)
Tìm x để B=3A,biếtA=\(\left(\frac{5+2\sqrt{6}}{\sqrt{3}+\sqrt{2}}+\frac{5-2\sqrt{6}}{\sqrt{3}-\sqrt{2}}\right)\) /\(\left(\frac{1}{2\sqrt{5}+3\sqrt{2}}-\frac{1}{2\sqrt{5}-3\sqrt{2}}\right)\)
B=\(\frac{2x^4-x^3+2x^2+x-4}{2x^3-x^2-2x+1}\)
Giải phương trình: \(\frac{\left(x^6+3x^4\sqrt{x^2-x+1}\right)\left(3+x-x^2\right)}{4\left(2+\sqrt{x^2-x+1}\right)\left(x^2-x+1\right)}=\sqrt{x^2-x+1}\left(2-\sqrt{x^2-x+1}\right)\)
Giải phương trình: \(\frac{\left(x^6+3x^4\sqrt{x^2-x+1}\right)\left(3+x-x^2\right)}{4\left(2+\sqrt{x^2-x+1}\right)\left(x^2-x+1\right)}=\sqrt{x^2-x+1}\left(2-\sqrt{x^2-x+1}\right)\)
Rút gọn:
\(A=1-\left[\dfrac{2x\sqrt{x}+x-\sqrt{x}}{1+x\sqrt{x}}+\dfrac{2x-1+\sqrt{x}}{1-x}\right]\cdot\left[\dfrac{\left(x-\sqrt{x}\right)\left(1-\sqrt{x}\right)}{2\sqrt{x}-1}\right]\)
\(B=\left[1:\frac{2x-1}{x-x^2}\right]\cdot\left[\frac{2x^3+x^2-x}{x^3-1}-2-\frac{1}{x-1}\right]\)
tìm x thoả mãn \(\left(\sqrt{x}-4\right)\left(|x+2|-1\right)\left(x^2-3\right)=0\)
Rút gọn:
\(C=\left(\dfrac{1}{x+1}-\dfrac{x+3\sqrt{x}-4}{\left(x^2-1\right)\left(\sqrt{x}+4\right)}\right):\dfrac{\sqrt{x}+1}{x^2\sqrt{x}+x^2-\sqrt{x}-1}\)
Thach thuc danh hai
\(\sqrt{\left(2x+4+6\sqrt{2-5}\right)}+\sqrt{\left(2x-4+2\sqrt{2x-5}\right)}\) \(=4\)
Tim x