Các câu hỏi tương tự
\(\sqrt[3]{3x^2-x+2012}-\sqrt[3]{3x^2-6x-2013}-\sqrt[3]{5x-2014}=\sqrt[3]{2013}\)
\(\sqrt[3]{3x^2-x+2012}-\sqrt[3]{3x^2-6x-2013}-\sqrt[3]{5x-2014}=\sqrt[3]{2013}\)
. Giải các phương trình sau:a, sqrt{10x^2+3x+1} (6x+1)sqrt{x^2+3}b, (4x-1)sqrt{x^3+1} 2x^3+x^2+1c, sqrt[3]{3x^2-x+2010}-sqrt[3]{3x^2-6x+2011}-sqrt[3]{5x-2012}sqrt[3]{2011}d, sqrt[3]{1+7x}+sqrt[3]{2x-1}2sqrt[3]{x}e, sqrt[3]{x^4-x^2}+x^22x+1
Đọc tiếp
. Giải các phương trình sau:
a, \(\sqrt{10x^2+3x+1}\) = (6x+1)\(\sqrt{x^2+3}\)
b, (4x-1)\(\sqrt{x^3+1}\)= \(2x^3+x^2+1\)
c, \(\sqrt[3]{3x^2-x+2010}-\sqrt[3]{3x^2-6x+2011}-\sqrt[3]{5x-2012}=\sqrt[3]{2011}\)
d, \(\sqrt[3]{1+7x}+\sqrt[3]{2x-1}=2\sqrt[3]{x}\)
e, \(\sqrt[3]{x^4-x^2}+x^2=2x+1\)
cho 3 số x,y,z thỏa mãn đồng thời
\(3x-2y-2\sqrt{y+2012}+1=0\)
\(3y-2z-2\sqrt{z-2013}+1=0\)
\(3z-2x-2\sqrt{x-2}-2=0\)
tính giá trị của biểu thức P=\(\left(x-4\right)^{2011}+\left(y+2012\right)^{2012}+\left(z-2013\right)^{2013}\)
Các số thực x, y, z thỏa mãn:
\(\hept{\begin{cases}\sqrt{x+2011}+\sqrt{y+2012}+\sqrt{z+2013}=\sqrt{y+2011}+\sqrt{z+2012}+\sqrt{x+2013}\\\sqrt{y+2011}+\sqrt{z+2012}+\sqrt{x+2013}=\sqrt{z+2011}+\sqrt{x+2012}+\sqrt{y+2013}\end{cases}}\)
CMR: \(x=y=z\)
Cho \(x,y,z\) thỏa mãn
\(\hept{\begin{cases}\sqrt{x+2011}+\sqrt{y+2012}+\sqrt{z+2013}=\sqrt{y+2011}+\sqrt{z+2012}+\sqrt{x+2013}\\\sqrt{y+2011}+\sqrt{z+2012}+\sqrt{x+2013}=\sqrt{z+2011}+\sqrt{x+2012}+\sqrt{y+2013}\end{cases}}\)
CMR: \(x=y=z\)
Tìm x,y,z thỏa mãn
\(\frac{\sqrt{x-2010}-1}{x-2010}+\frac{\sqrt{y-2011}-1}{y-2011}+\frac{\sqrt{z-2012}-1}{z-2012}=\frac{3}{4}\)
Giải Pt :
a) \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+........+\frac{1}{x\left(x+1\right)}=\frac{\sqrt{2012-x}+2012}{\sqrt{2012-x}+2013}\)
b) \(\sqrt{2x+3}+\sqrt{x+1}=3x+2\sqrt{2x^2+5x+3}-16\)
Tìm x,y hữu tỉ thỏa: x(\(\sqrt{2012}\)+ \(\sqrt{2011}\)) +y(\(\sqrt{2012}\)-\(\sqrt{2011}\)) =\(\sqrt{2012^3}\)+ \(\sqrt{2011^3}\)