rozwiąż:
a) -2(x-3)(4-5x+x²)<0
b)x⁴≥81
-2(4x-5x²+x³-12+15x-3x²) <0
-8x+10x²-2x³+24-30x+6x² < 0
2x³+16x²-38x+24 < 0
2x(x²-19)+8(2x²+3) < 0
(2x+8)(x²-19)(2x²+3) < 0
2x+8 = 0
2x = -8 |:2
x = -4
x² = 19
x = ±√19
2x²+3 = 0
2x² = -3 |:2
x² = -1,5
X∈(-√19,-4) u (√19,∞)
x ≥ 3
x∈<3,+∞)
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a) -2(x-3)(4-5x+x²)<0
-2(4x-5x²+x³-12+15x-3x²) <0
-8x+10x²-2x³+24-30x+6x² < 0
2x³+16x²-38x+24 < 0
2x(x²-19)+8(2x²+3) < 0
(2x+8)(x²-19)(2x²+3) < 0
2x+8 = 0
2x = -8 |:2
x = -4
x² = 19
x = ±√19
2x²+3 = 0
2x² = -3 |:2
x² = -1,5
X∈(-√19,-4) u (√19,∞)
b)x⁴≥81
x ≥ 3
x∈<3,+∞)