rozwiaż x³-6x²-7x=0 x⁴-2x²=0
x³-6x²-7x=0
delta=b^2-4ac
delta=36+28=64
pierwiastek z delty=8
x1=6-8/ 2=-2/2=-1
x2=6+8/ 2=14/2=7
x⁴-2x²=0
x^2(x^2-2)=0
x^2=0 lub x^2-2=0
x=0 lub x^2=2
x=0 lub x=V2 lub x=-V2
x(x²-6x+7)=0
x=0 lub x²-6x-7=0
x²-6x-7=0
Δ=b²-4ac=36+28=64
√Δ=8
x₁=[-b-√Δ]/2a=[6-8]/2=-1
x₂=[-b-√Δ]/2a=[6+8]/2=7
x(x+1)(x-7)=0
Odp. x=0 lub x=-1 lub x=7
===================
x²(x²-2)=0
x²(x-√2)(x+√2)=0
x²=0 => x=0 - pierwiastek podwójny
x-√2=0 => x=√2
x+√2=0 => x=-√2
Odp. x=-√2 lub x=√2 lub x=0
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x³-6x²-7x=0
delta=b^2-4ac
delta=36+28=64
pierwiastek z delty=8
x1=6-8/ 2=-2/2=-1
x2=6+8/ 2=14/2=7
x⁴-2x²=0
x^2(x^2-2)=0
x^2=0 lub x^2-2=0
x=0 lub x^2=2
x=0 lub x=V2 lub x=-V2
x³-6x²-7x=0
x(x²-6x+7)=0
x=0 lub x²-6x-7=0
x²-6x-7=0
Δ=b²-4ac=36+28=64
√Δ=8
x₁=[-b-√Δ]/2a=[6-8]/2=-1
x₂=[-b-√Δ]/2a=[6+8]/2=7
x(x+1)(x-7)=0
Odp. x=0 lub x=-1 lub x=7
===================
x⁴-2x²=0
x²(x²-2)=0
x²(x-√2)(x+√2)=0
x²=0 => x=0 - pierwiastek podwójny
x-√2=0 => x=√2
x+√2=0 => x=-√2
Odp. x=-√2 lub x=√2 lub x=0