Rozwiąż równania wielomianowe:
1) x³ -100x=x²-100
2) 5x³+5x²+5x+5=0
3) x ³-3x²+4x-12=0
4) x ⁵ +x ⁴ -3x ³-3x ² -4x-4=0
5) 2x ³ -x ² -18x+9=0
6) -2x ³+22x ²+6x-66=0
7) 3x⁴ -14x ³+32x ²-31x+10=0
8) -4x ⁴+4x ³+17x ²-9x-18=0

1

Odpowiedzi

2010-03-16T15:28:17+01:00
1) x³ -100x=x²-100
-99x = x -100
-99x -x = -100
-100x = -100 | : (-100)
x = 1
2) 5x³+5x²+5x+5=0
15x +5 = 0
15x = -5
15x = -5 | : 15
x = -0.33333333333333
3) x ³-3x²+4x-12=0
2x -12 = 0
2x = 12
2x = 12 | : 2
x = 6
4) x ⁵ +x ⁴ -3x ³-3x ² -4x-4=0
-8x -4 = 0
-8x = 4
-8x = 4 | : (-8)
x = -0.5
5) 2x ³ -x ² -18x+9=0
-17x +9 = 0
-17x = -9
-17x = -9 | : (-17)
x = 0.52941176470588
6) -2x ³+22x ²+6x-66=0
26x -66 = 0
26x = 66
26x = 66 | : 26
x = 2.5384615384615
7) 3x⁴ -14x ³+32x ²-31x+10=0
-10x +10 = 0
-10x = -10
-10x = -10 | : (-10)
x = 1
8) -4x ⁴+4x ³+17x ²-9x-18=0
8x -18 = 0
8x = 18
8x = 18 | : 8
x = 2.25