Technikum - Równania i nierówności:
<-- nie wiem czy dobrze --> x = 3 ?
a)
2x²-x=0
x(2x-1)=0
x=0
lub
2x-1=0
2x=1
x=½
x=0 ∨ x=½
b)x²-9=0
(x-3)(x+3)=0
x=3 ∨ x=-3
c)x²+7x-8=0
Δ=7²-4*1*(-8)=49 +32=81
√Δ=9
x₁=(-7+9)/2=2/2=1
x₂=(-7-9)/2=-16/2=-8
x=1 ∨ x=-8
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a)
2x²-x=0
x(2x-1)=0
x=0
lub
2x-1=0
2x=1
x=½
x=0 ∨ x=½
b)x²-9=0
(x-3)(x+3)=0
x=3 ∨ x=-3
c)x²+7x-8=0
Δ=7²-4*1*(-8)=49 +32=81
√Δ=9
x₁=(-7+9)/2=2/2=1
x₂=(-7-9)/2=-16/2=-8
x=1 ∨ x=-8