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Rezolva ecuatia :
(5-radical din 7)x-5-radical din 7=0


Răspuns :

[tex](5 - \sqrt{7} )x - 5 - \sqrt{7} = 0[/tex]

[tex](5 - \sqrt{7} )x = 5 + \sqrt{7} [/tex]

[tex]x = \frac{5 + \sqrt{7} }{5 - \sqrt{7} } [/tex]

[tex]x = \frac{ {(5 + \sqrt{7} )}^{2} }{(5 - \sqrt{7})(5 + \sqrt{7} )} [/tex]

[tex]x = \frac{25 + 10 \sqrt{7} + 7 }{25 - 7} [/tex]

[tex]x = \frac{32 + 10 \sqrt{7} }{18} [/tex]

[tex]x = \frac{2(16 + 5 \sqrt{7} )}{18} [/tex]

[tex]x = \frac{16 + 5 \sqrt{7} }{9} [/tex]