zadanie. rozwiąż równanie. \frac{6x-5}{12x-1}=\frac{2x-3}{4x+1} [/tex]
6x-5/12x-1 = 2x-3/4x+1
zał. x∈R\{1/12 , -1/4}
mnożę na krzyż:
(6x-5)(4x+1)=(2x-3)(12x-1)
24x²+6x-20x-5 = 24x²-2x-36x+3
24x²-24x²+6x-20x+2x+36x=3+5
-24x = 8 /:(-24)
x=-1/3
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6x-5/12x-1 = 2x-3/4x+1
zał. x∈R\{1/12 , -1/4}
mnożę na krzyż:
(6x-5)(4x+1)=(2x-3)(12x-1)
24x²+6x-20x-5 = 24x²-2x-36x+3
24x²-24x²+6x-20x+2x+36x=3+5
-24x = 8 /:(-24)
x=-1/3