Rozwiąż równanie:
√1-3x = -3 - x podnosimy obustronnie równanie do kwadratu
1 - 3x = (-3 - x)^2
1 - 3x = 9 + 6x +x^2
Porządek
x^2 + 6x + 9 +3x - 1 = 0
x^2 + 9x + 8 = 0
Δ = 9^2 - 4*1*8 = 81 - 32 = 49
√Δ = 7
x1 = (-9 - 7)/2 = -8
x2 = (-9 + 7)/2 = -1
Odp:x = -8 ∨ x = -1.
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√1-3x = -3 - x podnosimy obustronnie równanie do kwadratu
1 - 3x = (-3 - x)^2
1 - 3x = 9 + 6x +x^2
Porządek
x^2 + 6x + 9 +3x - 1 = 0
x^2 + 9x + 8 = 0
Δ = 9^2 - 4*1*8 = 81 - 32 = 49
√Δ = 7
x1 = (-9 - 7)/2 = -8
x2 = (-9 + 7)/2 = -1
Odp:x = -8 ∨ x = -1.