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Cat face 2 la puterea x + 2 la puterea x+3 =36

Răspuns :

[tex] 2^{(x+2)^{(x+3)} } = 2^{5} =\ \textgreater \ (x+2)(x+3) = 5 =\ \textgreater \ x^{2} + 5x+ 6=5 =\ \textgreater \ [/tex]
[tex] x^{2}+5x+1=0 =\ \textgreater \ x_{1}= \frac{-5+ \sqrt{21} }{2} ; x_{2}= \frac{-5- \sqrt{21} }{2} [/tex]