1)` x(x + 2018) - 2x + 4036 = 0 `` <=> x^{2} + 2016x + 4036 = 0 `
Giải phương trình, ta được:
` (x + 1008)^{2} = 1012028 `
` <=> ` \(\left[ \begin{array}{l}x+1008=\sqrt{1012028}\\x+1008=-\sqrt{1012028}\end{array} \right.\)
` <=> ` \(\left[ \begin{array}{l}x=\sqrt{1012028}-1008\\x=-\sqrt{1012028}-1008\end{array} \right.\)
`2)(2x+3)(x-1)+(2x-3)(1-x)=0`
`⇔(2x+3)(x-1)-(2x-3)(x-1)=0`
`⇔6(x-1)=0`
`⇔`\(\left[ \begin{array}{l}6=0(Loại)\\x-1=0\end{array} \right.\)
`⇔x-1=0`
`⇔ x = 1`
3) (x-2) = (x-2)²
`⇔ (x-2) - (x - 2)² = 0`
`⇔ (x-2)(1 - x + 2)=0`
`⇔ (x - 2)(3 - x) = 0`
`→ TH1: x - 2 = 0 ⇔ x = 2`
`→ TH2: 3 - x = 0 ⇔ x = 3`
