Question

Estudiar las naturalezas de las raices de la ecuación
${f }^{2} - 5f - 1 = 0$
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Answer 1

Respuesta:

$f^2-5f-1=0\\\\f_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\cdot \left(-1\right)}}{2\cdot \:1}\\\\f_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{29}}{2\cdot \:1}\\\\f_1=\frac{-\left(-5\right)+\sqrt{29}}{2\cdot \:1},\:f_2=\frac{-\left(-5\right)-\sqrt{29}}{2\cdot \:1}\\\\f=\frac{5+\sqrt{29}}{2},\:f=\frac{5-\sqrt{29}}{2}$