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Elenna [48]
3 years ago
8

Please help me out if you can :)

Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0

\frac{29}{10}  = x +  \frac{1}{x} \\ 29 = 10x +  \frac{10}{x}   \\ 10x - 29 +  \frac{10}{x} = 0  \\ 10 {x}^{2}  - 29x + 10 = 0 \\  \frac{29 +  \sqrt{841 - 400} }{20}  = x \\  \frac{29 +  \sqrt{441} }{20}  = x \\  \frac{29 + 21}{20}  =  \frac{50}{20}  = 2 \frac{1}{2} = x  \\ or \\  \frac{29  -   \sqrt{841 - 400} }{20}  = x \\  \frac{29  -   \sqrt{441} }{20}  = x \\  \frac{29  -  21}{20}  =  \frac{8}{20}  = \frac{2}{5} = x
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