rozwiaz rownanie pilne!!
2x^4+8x^3=x^5
x^3-x^2-9x+9=0
2x⁴+8x³ = x⁵
-x⁵+2x⁴+8x³ = 0 I*(-1)
x⁵-2x⁴-8x³ = 0
x³(x²-2x-8) = 0
x = 0
lub
x²-2x-8 = 0
Δ = b²-4ac = 4+32 = 36
√Δ = 6
x1 = (2-6)/2 = -4/2 = -2
x2 = (2+6)/2 = 8/2 = 4
Odp. x = -2 v x = 0 v x = 4
x³-x²-9x+9 = 0
x²(x-1)-9(x-1) = 0
(x-1)(x²-9) = 0
(x-1)(x+3)(x-3) = 0
x-1 = 0
x = 1
x+3 = 0
x = -3
x-3 = 0
x = 3
Odp. x = -3 v x = 1 v x = 3
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