9x³ + 6x² + x = 0
x·(9x² + 6x + 1) = 0
x·(3x + 1)² = 0
x = 0 lub (3x + 1)² = 0
x = 0
(3x + 1)² = 0
3x + 1 = 0
3x = - 1 /:3
x = - ⅓
Odp. x = 0 lub x = - ⅓
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9x² + 6x + 1 = (3x)² + 2 · 3x · 1 + 1² = (3x + 1)²
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9x³ + 6x² + x = 0
x·(9x² + 6x + 1) = 0
x·(3x + 1)² = 0
x = 0 lub (3x + 1)² = 0
x = 0
(3x + 1)² = 0
3x + 1 = 0
3x = - 1 /:3
x = - ⅓
Odp. x = 0 lub x = - ⅓
--------------------------------------------------------
9x² + 6x + 1 = (3x)² + 2 · 3x · 1 + 1² = (3x + 1)²