załącznik
rozwiązanie w załacznikach
A)
6x²+5x-6=0
a=6 b=5 c=-6
Δ=b²-4ac=25+4*6*6=25+144=169 √Δ=13
x₁= -b-√Δ/2a = - 5-13/12=-18/12= -3/2
x₂= -b+√Δ/2a= -5+13/12= 8/12=2/3
B)
-3x²-7x+20=0
a=-3 b=-7 c=20
Δ=b²-4ac=49+240=289 √Δ=17
x₁= -b-√Δ/2a= 7-17/-6= -10/-6= 5/3
x₂= -b+√Δ/2a = 7+17/-6 = 24/-6= -4
C) 4x²-12x+9=0
a=4 b=-12 c=9
Δ=b²-4ac=144-144=0 √Δ=0
x=-b/2a=12/8=3/2
D) x²-25=0
(x-5)(x+5)=0
x=5
x=-5
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rozwiązanie w załacznikach
A)
6x²+5x-6=0
a=6 b=5 c=-6
Δ=b²-4ac=25+4*6*6=25+144=169 √Δ=13
x₁= -b-√Δ/2a = - 5-13/12=-18/12= -3/2
x₂= -b+√Δ/2a= -5+13/12= 8/12=2/3
B)
-3x²-7x+20=0
a=-3 b=-7 c=20
Δ=b²-4ac=49+240=289 √Δ=17
x₁= -b-√Δ/2a= 7-17/-6= -10/-6= 5/3
x₂= -b+√Δ/2a = 7+17/-6 = 24/-6= -4
C) 4x²-12x+9=0
a=4 b=-12 c=9
Δ=b²-4ac=144-144=0 √Δ=0
x=-b/2a=12/8=3/2
D) x²-25=0
(x-5)(x+5)=0
x=5
x=-5