Răspuns :
[tex] \frac{x+1}{8} =\frac{2}{x+1}
(x+1)(x+1)= x^{2}+x+x+1= x^{2}+2x+1
x^{2}+2x+1=16
x^{2}+2x+1-16=0
x^{2}+2x-15=0
si de aici faci cu delta pt ca e ecuatie de gradul al 2 lea
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Aplici formula Δ=[tex] b^{2}-4ac a=1 b=2 c=-15 [/tex]
Aplici formula Δ=[tex] b^{2}-4ac a=1 b=2 c=-15 [/tex]
[tex] \frac{x+1}{8}= \frac{2}{x+1}=>(x+1)(x+1)=16=> x^{2} +x+x+1=16=> \\ x^{2} +2x+1=16=> (x+1)^{2}=16=>x+1= 4=>x=3[/tex]