Question

Rozwiąż rownania :
a) x\x-4 = x-3
b)2\5-x = x\3

Answer 1

 x/x-4 = x-3

x=(x-3)(x-4)

x=x²-4x-3x+12

x²-8x+12=0

 

Δ=64-48=16

√Δ=4

 

x₁=(8+4)/2=6

x₂=(8-4)/2=2

 

x∈{6,2}

 

b)

 

b)2/5-x = x/3

x(5-x)=6

5x-x²=6

-x²+5x-6=0

 

Δ=25-24=1

 

x₁=(-5-1)/-2=3

x₂=(-5+1)/-2=2

 

x∈{2,3}