Question

Tìm x \(\in\) Z biết: (|x+ 2²|- 100)(x² - 225) = 0

Answer 1

\(\left(\left|x+2^2\right|-100\right)\left(x^2-225\right)=0\)

\(\Rightarrow\left|x+2^2\right|-100=0\) hoặc \(x^2-225=0\)

+) \(\left|x+2^2\right|-100=0\)

\(\Rightarrow\left|x+2^2\right|=100\)

\(\Rightarrow x+4=\pm100\)

+ \(x+4=100\Rightarrow x=96\)

+\(x+4=-100\Rightarrow x=-104\)

+) \(x^2-225=0\Rightarrow x^2=225\Rightarrow x=\pm15\)

Vậy \(x\in\left\{96;-104;15;-15\right\}\)