Odpowiedź:
Szczegółowe wyjaśnienie:
b) x^2 + 4x + 3 = 0
Δ = 4^2 - 4 * 1 * 3 = 16 - 12 = 4
√Δ = √4 = 2
x1 = -4 + 2 / 2 = -2 / 2 = -1
x2 = -4 - 2 / 2 = -6 / 2 = -3
c) 2x^2 - 7x - 4 = 0
Δ = 49 - 4 * 2 * (-4) = 49 + 32 = 81
√Δ = 9
x1 = 7 + 9 / 4 = 16 / 4 = 4
x2 = 7 - 9 / 4 = -2 / 4 = -1/2
d) 3x^2 + 5x - 2 = 0
Δ = 25 - 4 * 3 * (-2) = 25 +24 = 49
√Δ = 7
x1 = -5 + 7 / 6 = 2 / 6 = 1/3
x2 = -5 - 7 / 6 = -12 / 6 = -2
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Odpowiedź:
Szczegółowe wyjaśnienie:
b) x^2 + 4x + 3 = 0
Δ = 4^2 - 4 * 1 * 3 = 16 - 12 = 4
√Δ = √4 = 2
x1 = -4 + 2 / 2 = -2 / 2 = -1
x2 = -4 - 2 / 2 = -6 / 2 = -3
c) 2x^2 - 7x - 4 = 0
Δ = 49 - 4 * 2 * (-4) = 49 + 32 = 81
√Δ = 9
x1 = 7 + 9 / 4 = 16 / 4 = 4
x2 = 7 - 9 / 4 = -2 / 4 = -1/2
d) 3x^2 + 5x - 2 = 0
Δ = 25 - 4 * 3 * (-2) = 25 +24 = 49
√Δ = 7
x1 = -5 + 7 / 6 = 2 / 6 = 1/3
x2 = -5 - 7 / 6 = -12 / 6 = -2