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x ∈ N
4√x-7√7+9√9-10=8√9+√3²-6√7-√847+2√28
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Răspuns :

4√x-7√7+9√9-10=8√9+√3²-6√7-√847+2√28
4√x-7√7+9·3-10=8·3+3-6√7-11√7+2√7
4√x-7√7+17=27-15√7
4√x=27-17-15√7+7√7
4√x=10-8√7
√x=2(5-4√7)/4
√x=(5-4√7)/2
(√x)²=[(5-4√7)2]²
x=(25-40√7+112)/4
x=(137-40√7)/4=137/4-10√7

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