P = M cap N = { x in M|x in N}
}
Lời giải chi tiết
Ta có:
({x^2} – 2x – 3 = 0 Leftrightarrow (x + 1)(x – 3) = 0)
( Leftrightarrow left[ begin{array}{l}x = – 1\x = 3end{array} right. Rightarrow M = { – 1;3} )
Lại có: ((x + 1)(2x – 3) = 0 Leftrightarrow left[ begin{array}{l}x = – 1\x = frac{3}{2}end{array} right.)
( Rightarrow N = left{ { – 1;frac{3}{2}} right})
( Rightarrow P = M cap N = left{ { – 1} right}).