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25²-x² = 7²
Determinati solutia ecuatiei


Răspuns :

[tex]x^2=25^2-7^2=(25+7)(25-7)=32\cdot18=2^5\cdot2\cdot 3^2=2^6\cdot3^2[/tex]

[tex]x_{1;2}=\pm\sqrt{2^6\cdot3^2}=\pm24[/tex]

Merge si cu munca bruta, asa:
x²=625-49
x²=576
[tex]x_{1;2}=\pm24[/tex]