Question

x²=x¹⁰⁰

Answer 1

\(x^2=x^{100}\)

\(x^{100}-x^2=0\)

\(x^2.\left(x^{98}-1\right)=0\)

\(x^2=0\) hoặc \(x^{98}-1=0\)

*) \(x^2=0\)

\(x=0\)

*) \(x^{98}-1=0\)

\(x^{98}=1\)

\(x^{98}=1^{98}\) hoặc \(x^{98}=\left(-1\right)^{98}\)

\(x=1\) hoặc \(x=-1\)

Vậy \(x=-1;x=0;x=1\)