Odpowiedź:
y = ax² + bx +c
Δ - wyróżnik trójmianu kwadratowego
Δ = b² - 4ac
a)
a= -2, b= 5 , c=7
Δ= 5² - 4×(-2)×7 = 25 + 56 = 81
b)
a=2, b=3 ,c=2
Δ= 3² - 4×2×2 = 9 - 16 = - 7
c)
a= -2 , b=3 , c= -1
Δ = 3² - 4×(-2)×(-1) = 9 - 8 = 1
d)
a=4 , b= -12 , c= 9
Δ = (-12)² -4×4×9 = 144 - 144 ××= 0
e)
a= 1/2 , b= 6 , c= -3
Δ= 6² - 4×1/2×(-3) = 36+ 6 = 42
f)
a= 3/4 , b= -2 , c= 5
Δ = (-2)² -4×3/4×5 = 4 - 15 = -11
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Odpowiedź:
y = ax² + bx +c
Δ - wyróżnik trójmianu kwadratowego
Δ = b² - 4ac
a)
a= -2, b= 5 , c=7
Δ= 5² - 4×(-2)×7 = 25 + 56 = 81
b)
a=2, b=3 ,c=2
Δ= 3² - 4×2×2 = 9 - 16 = - 7
c)
a= -2 , b=3 , c= -1
Δ = 3² - 4×(-2)×(-1) = 9 - 8 = 1
d)
a=4 , b= -12 , c= 9
Δ = (-12)² -4×4×9 = 144 - 144 ××= 0
e)
a= 1/2 , b= 6 , c= -3
Δ= 6² - 4×1/2×(-3) = 36+ 6 = 42
f)
a= 3/4 , b= -2 , c= 5
Δ = (-2)² -4×3/4×5 = 4 - 15 = -11