Question

sea F(x+1) = x+5/x+3 calcula m si F(m)= -1

Answer 1

Respuesta:

$F\left(x+1\right)=x+\frac{5}{x}+3$

Multiplicar Ambos Lados por x:

$F\left(x+1\right)x=xx+\frac{5}{x}x+3x$

Simplificar:

$F\left(x+1\right)x=x^2+5+3x$

Resolver:

$x=\frac{-3+F+\sqrt{F^2+14F-11}}{2\left(1-F\right)},\:x=\frac{-3+F-\sqrt{F^2+14F-11}}{2\left(1-F\right)};\quad \:F\ne \:1$

Saludos...