Question

Determinar el valor de y²+1÷y², sabiendo que y+1÷y=4


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Answer 1

Respuesta:

$\frac{y + 1}{y} = 4 \\ \frac{ {y}^{2} + 1 }{ {y}^{2} } \\ y + 1 = 4y \\ 1 = 4y - y \\ 1 = 3y \\ y = \frac{1}{3} \\ \frac{( { \frac{1}{3} ) }^{2} + 1}{ ({ \frac{1}{3}) }^{2} } \\ \frac{ \frac{1}{9} + 1 }{ \frac{1}{9} } \\ \frac{ \frac{1 + 9}{9} }{ \frac{1}{9} } \\ \frac{ \frac{10}{9} }{ \frac{1}{9} } \\ \frac{90}{9} \\ 10 \\ \frac{ {y}^{2} + 1 }{ {y}^{2} } = 10$