m^2 - 2m - 3 = 0 Sara: m² − 2m − 3 = 0

irena_1: m²−2m−3=0 Δ=4+12=16

	2−4		2+4
m1=		=−1 lub m2=		=3
	2		2

pigor: ...no to może np. tak : m²−2m−3=0 ⇔ m²−2m+1−4= 0 ⇔ (m−1)²−2²= 0 ⇔ (m−1−2)(m−1+2)= 0 ⇔ ⇔ (m−3)(m+1)= 0 ⇔ m−3=0 lub m+1=0 ⇔ m∊{3,−1} lub tak : m²−2m−3=0 ⇔ m²−2m+1−4= 0 ⇔ (m−1)²= 4 ⇔ |m−1|=2 ⇔ ⇔ m−1=−2 lub m−1=2 ⇔ m=−1 lub m=3 ⇔ m∊{−1,3} lub tak : m²−2m−3=0 ⇔ m²+m−3m−3=0 ⇔ m(m+1)−3(m+1)= 0 ⇔ (m+1)(m−3)= 0 ⇔ lub tak : m²−2m−3=0 ⇔ m²−3m+m−3= 0 ⇔ m(m−3)+1(m−3)= 0 ⇔ (m−3)(m+1)= 0 . ...

mak: m²−2m>0