Question

Tìm a,b biết

a) \(\left(a-2009\right)^2+\left(b+2010\right)^2=0\)

b) /a-2010/=2009

Answer 1

a) \(\left(a-2009\right)^2+\left(b+2010\right)^2=0\)

vì \(\left(a-2009\right)^2\ge0\) \(\left(b+2010\right)^2\ge0\)

suy ra \(a-2009=0\Rightarrow a=2009\)

\(b+2010=0\Rightarrow b=-2010\)

b) \(\left|a-2010\right|=2009\)

* Nếu \(a-2010\ge0\Rightarrow a>2010\)

\(a-2010=2009\)

\(a=4019\)(TMĐK)

* Nếu \(a-2010< 0\Rightarrow a< 2010\)

\(-\left(a-2010\right)=2009\)

\(a=1\)(TMĐK)

Vậy \(a=4019\) hoặc \(a=1\)