Odpowiedź:
Δ=b²-4ac
a)
a=1 b=2 c=-4 Δ= 4+16=20
b) Δ= 25-24=1
c)Δ=16-8=8
d)Δ=16-32=-16
e)Δ=0+72=72
f)Δ=25+4*5*0=25
Szczegółowe wyjaśnienie:
a) Y = x² + 2 * -4 a = 1 b = 2 c = -4 2² - 4 * 1 * (-4) = 4 + 16 =20
b) x² + 5 * -6 a = 1 b = 5 c -6 5²-4 * (-1) × (-6) = 25 - 24 = 1
c) y = 2x² - 4x + 1 a = 2 b = -4 c = 1 (-4)²-4 * 2 * 1= 16 - 8 = 8
d) y = -2x² + 4x -4 a = -2 b = 4 c -4 4² -4* (-2) * (-4) = 16 - 32 = -16
e) y = -3x² + 6 a - 3 b = 0 c = 6 0²-4 * (-3) * 6 = 0 + 72 = 72
f) y = -5x² -5x a = -5 b = -5 c = 0 (-5)² -4*(-5) * 0 = 25 + 0 = 25
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Odpowiedź:
Δ=b²-4ac
a)
a=1 b=2 c=-4 Δ= 4+16=20
b) Δ= 25-24=1
c)Δ=16-8=8
d)Δ=16-32=-16
e)Δ=0+72=72
f)Δ=25+4*5*0=25
Szczegółowe wyjaśnienie:
Odpowiedź:
a) Y = x² + 2 * -4 a = 1 b = 2 c = -4 2² - 4 * 1 * (-4) = 4 + 16 =20
b) x² + 5 * -6 a = 1 b = 5 c -6 5²-4 * (-1) × (-6) = 25 - 24 = 1
c) y = 2x² - 4x + 1 a = 2 b = -4 c = 1 (-4)²-4 * 2 * 1= 16 - 8 = 8
d) y = -2x² + 4x -4 a = -2 b = 4 c -4 4² -4* (-2) * (-4) = 16 - 32 = -16
e) y = -3x² + 6 a - 3 b = 0 c = 6 0²-4 * (-3) * 6 = 0 + 72 = 72
f) y = -5x² -5x a = -5 b = -5 c = 0 (-5)² -4*(-5) * 0 = 25 + 0 = 25