rozwiąż równania a) x2+4x-21=0 b) 2x7+4x6-6x5=0 cyfry po x to potęga
a) x²+4x-21=0
Δ=b²-4ac=4²-4*1*(-21)=16+84=100
√Δ=10
x₁=[-b-√Δ]/2a=[-4-10]/2=-7
x₂=[-b+√Δ]/2a=[-4+10]/2=3
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b) 2x⁷+4x⁶-6x⁵=0
2x⁵(x²+2x-3)=0
2x⁵=0 lub x²+2x-3=0
x₁=0 [pierwiastek pięciokrotny]
x²+2x-3=0
Δ=b²-4ac=2²-4*1*(-3)=4+12=16
√Δ=4
x₂=[-b-√Δ]/2a=[-2-4]/2=-3
x₃=[-b+√Δ]/2a=[-2+4]/2=1
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a) x²+4x-21=0
Δ=b²-4ac=4²-4*1*(-21)=16+84=100
√Δ=10
x₁=[-b-√Δ]/2a=[-4-10]/2=-7
x₂=[-b+√Δ]/2a=[-4+10]/2=3
----------------------------------
b) 2x⁷+4x⁶-6x⁵=0
2x⁵(x²+2x-3)=0
2x⁵=0 lub x²+2x-3=0
x₁=0 [pierwiastek pięciokrotny]
x²+2x-3=0
Δ=b²-4ac=2²-4*1*(-3)=4+12=16
√Δ=4
x₂=[-b-√Δ]/2a=[-2-4]/2=-3
x₃=[-b+√Δ]/2a=[-2+4]/2=1