Liczby 1,x,7x-6 są kolejnymi wyrazami ciągu geometrycznego. Oblicz x.
a₁=1
a₂=x
a₃=7x-6
a₂²=a₁·a₃
x²=1(7x-6)
x²=7x-6
x²-7x+6=0
a=1, b=-7, c=6
Δ=49-24=25
√Δ=5
x₁=7-5/2=2/2=1
x₂=7+5/2=12/2=6
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a₁=1
a₂=x
a₃=7x-6
a₂²=a₁·a₃
x²=1(7x-6)
x²=7x-6
x²-7x+6=0
a=1, b=-7, c=6
Δ=49-24=25
√Δ=5
x₁=7-5/2=2/2=1
x₂=7+5/2=12/2=6