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d) 7x²=2x³+9
7x²=2x³+9
2x³-7x²+9=0
W(-1)=0
(x+1)(2x²-9x+9)=0
delta = 81-4*2*9 = 81-72 = 9
pierw z delty = 3
x1 = (9-3)/4 = 6/4 = 3/2
x2 = (9+3)/4 = 3
x3 = -1
-2x³+7x²-9=0
-2x³-2x²+9x²-9=0
-2x²(x+1)+9(x²-1)=0
-2x²(x+1)+9(x+1)(x-1)=0
(x+1)(-2x²+9x-9)=0
x+1=0 v -2x+9x-9=0
x=-1
Δ=81-72=9
x=3 v x=1,5
Odp. x∈{-1; 1,5; 3}
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7x²=2x³+9
2x³-7x²+9=0
W(-1)=0
(x+1)(2x²-9x+9)=0
delta = 81-4*2*9 = 81-72 = 9
pierw z delty = 3
x1 = (9-3)/4 = 6/4 = 3/2
x2 = (9+3)/4 = 3
x3 = -1
-2x³+7x²-9=0
-2x³-2x²+9x²-9=0
-2x²(x+1)+9(x²-1)=0
-2x²(x+1)+9(x+1)(x-1)=0
(x+1)(-2x²+9x-9)=0
x+1=0 v -2x+9x-9=0
x=-1
Δ=81-72=9
x=3 v x=1,5
Odp. x∈{-1; 1,5; 3}