x²+2x-3 [tex] \geqslant 0[/tex]

maksudnya x² + 2x - 3 > 2 ??

x² + 2x - 3 - 2 > 0
x² + 2x - 5 > 0
x² + 2x - 5 = 0
x = -1 + √6
x = -1 - √6
(x - (-1 + √6)) (x - (-1 - √6)) > 0
(x + 1 - √6) (x + 1 + √6) > 0

x + 1 - √6 > 0
x > - 1 + 6

x + 1 + √6 > 0
x > -1 - √6

x € { -1 + √6 }

x + 1 - √6 < 0
x < - 1 + √6

x + 1 + √6 < 0
x < -1 - √6

x € { -1 - √6 }

Jadi, x = { -1 - √6 } U { -1 + √6 }

Maaf kalau salah