Question

Cum se rezolva?
R ( x )=  $\frac{ x^{2}-7x+10}{ x^{2}-10x+25}$
unde x ∈ R-{5}
Fractia trebuie simplificata.
Multumesc anticipat :D

Answer 1

x²-7x+10=0
Δ=b²-4ac=49-4·10=9
x₁=(7-3)/2=4/2=2
x₂=(7+3)/2=5
⇒(x-2)(x-5)

x²-10x+25=0
Δ=100-100=0
x₁=x₂=10/2=5
⇒(x-5)(x-5)
R(x)=(x-2)(x-5)/(x-5)(x-5) se simplifica=(x-2)/(x-5)