Rozwiąż równania:
1). (4x²-9)(1-x²)*x=0
wynik: -3/2,-1,0,1,3/2
2). (2x-3)(x²-x-6) =0
wynik: -2,3/2,3
(4x²-9)(1-x²)*x=0
(4x²-4x⁴-9+9x²)x=0
4x³-4x⁵-9x+9x³
4x³(1-x²)-9x(1-x²)=0
(1-x²)(4x³-9x)=0]
x²=1 x(4x²-9)=0
x=1 x= -1 x=0 x=3/2 x=-3/2
(2x-3)(x²-x-6) =0
x=3/2 Δ=1+24=25 √Δ=5
x=1-5/2=-2 x=1+5/2=3
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(4x²-9)(1-x²)*x=0
(4x²-4x⁴-9+9x²)x=0
4x³-4x⁵-9x+9x³
4x³(1-x²)-9x(1-x²)=0
(1-x²)(4x³-9x)=0]
x²=1 x(4x²-9)=0
x=1 x= -1 x=0 x=3/2 x=-3/2
(2x-3)(x²-x-6) =0
x=3/2 Δ=1+24=25 √Δ=5
x=1-5/2=-2 x=1+5/2=3