Odpowiedź:
x² + (x+2)² = 10²
x² + x² + 4x + 4 = 100
2x² + 4x + 4 = 100
2x² + 4x - 96 = 0
x² + 2x - 48 = 0
Δ = 4 + 192 = 196
[tex]\sqrt{ \Delta} = 14[/tex]
[tex]x = \frac{- 2 - 14}{2 * 1} \ \ \ \vee \ \ \ x = \frac{-2 +14}{2 * 1}[/tex]
[tex]x = - 8 \ \ \ \vee \ \ \ x = 6 \ \ \ x \in N[/tex]
x = 6
x + 2 = 8
Obw = 6 + 8 + 10 = 24 cm
