Przykład 1. (x-1)(x-6)=-2x(x-1)
Przykład 2. (2x+1)(x-4)=9(x-4)
Dziękuję z góry za rozpisanie.
a)
(x-1)(x-6)=-2x(x-1)
x²-7x+6=-2x²+2x
3x²-9x+6=0
x²-3x+2=0
a=1
b=-3
c=2
Δ=b²-4ac
Δ=(-3)²-4·1·2=9-8=1
√Δ=1
x₁=(1-(-3))/2=2
x₂=(-1-(-3))/2=1
b)
(2x+1)(x-4)=9(x-4)
2x²-7x-4=9x-36
2x²-16x+32=0
x²-8x+16=0
(x-4)²=0
x=4
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a)
(x-1)(x-6)=-2x(x-1)
x²-7x+6=-2x²+2x
3x²-9x+6=0
x²-3x+2=0
a=1
b=-3
c=2
Δ=b²-4ac
Δ=(-3)²-4·1·2=9-8=1
√Δ=1
x₁=(1-(-3))/2=2
x₂=(-1-(-3))/2=1
b)
(2x+1)(x-4)=9(x-4)
2x²-7x-4=9x-36
2x²-16x+32=0
x²-8x+16=0
(x-4)²=0
x=4