Question

X2+X-1=0
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Ecuaciones cuadraticas completando el cuadrado

Answer 1

Respuesta:

꧁Holi꧂

${x}^{2} + x - 1 = 0$

$(x + \frac{1}{2} {)}^{2} - 1 - ( \frac{1}{2} {)}^{2} = 0$

$(x + \frac{1}{2} {)}^{2} = 1 + ( \frac{1}{2} {)}^{2}$

$(x + \frac{1}{2} {)}^{2} = 1 + \frac{ {1}^{2} }{ {2}^{2} }$

$(x + \frac{1}{2} {)}^{2} = \frac{5}{4}$

$x + \frac{1}{2} = ± \sqrt{ \frac{5}{4} }$

$x = ± \frac{ \sqrt{5} }{2} - \frac{1}{2}$

$x = - \frac{1}{2} + \frac{ \sqrt{5} }{2} ,x = - \frac{1}{2} - \frac{ \sqrt{5} }{2}$

$x = \frac{ - 1 + \sqrt{5} }{2} ,x = \frac{ - 1 - \sqrt{5} }{2}$