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(3x² - 27)(2x² - 3x³ + 5x) = 0
3x² - 27 = 0
3(x² - 9) = 0
x² = 9
x = √9
x = 3 lub x = - 3
2x² - 3x³ + 5x = 0
x(- 3x² + 2x + 5) = 0
x = 0
- 3x² + 2x + 5 = 0
a = - 3
b = 2
c = 5
Δ = b² - 4ac = 4 - 4 * - 3 * 5 = 4 + 60 = 64
√Δ = √64 = 8
x₁ = ( - b - √Δ)/2a = (- 2 - 8)/- 6 = - 10/- 6 = 5/3 = 1 2/3
x₂ = ( - b + √Δ)/2a = (- 2 + 8) - 6 = 6/- 6 = - 1
odp
x = 0 lub x = 3 lub x = - 3 lub x = 1 2/3 lub x = - 1
x = {-3; -1; 0; 1²/₃; 3}