1.Rozwiąż równanie
a)
b)
x²-x-2=0
Δ=1-4*1*(-2)=9 [Δ=b²-4ac]
√Δ=3
x1=(1-9)/2=-4 [x1=(-b-√Δ)/2a]
x2=5 [x1=(-b+√Δ)/2a]
x²-10x+25=0 [(a-b)²=a²-2ab+b²]
(x-5)²=0
x-5=0
x=5
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x²-x-2=0
Δ=1-4*1*(-2)=9 [Δ=b²-4ac]
√Δ=3
x1=(1-9)/2=-4 [x1=(-b-√Δ)/2a]
x2=5 [x1=(-b+√Δ)/2a]
x²-10x+25=0 [(a-b)²=a²-2ab+b²]
(x-5)²=0
x-5=0
x=5