Jawaban:
¾
Langkah - langkah:
[tex] \sf \: x = \frac{ - 2 \pm \sqrt{ {2}^{2} - 4 (1) ( - 4) } }{2(1)} \\ \\ \sf \: x = \frac{ - 2 \pm \sqrt{4 + 16} }{2} \\ \\ \sf \: x = \frac{ - 2 \pm \sqrt{20} }{2} \\ \\ \sf \: x = \frac{ - 2 \pm \sqrt{4} \sqrt{5} }{2} \\ \\ \sf \: x = \frac{ - 2 \pm2 \sqrt{5} }{2} \\ \\ \sf \: x = - 1 \pm \sqrt{5} [/tex]
x₁ = -1 + √5 dan x₂ = -1 - √5
[tex] \sf \: \frac{1}{( - 1 + \sqrt{5} {)}^{2} } + \frac{1}{( - 1 - \sqrt{5} {)}^{2} } \\ \\ \sf \: \frac{1}{( \sqrt{5} - 1 {)}^{2} } + \frac{1}{1 + 2 \sqrt{5} + 5 } \\ \\ \sf \: \frac{1}{5 - 2 \sqrt{5} + 1} + \frac{1}{6 + 2 \sqrt{5} } \\ \\ \sf \: \frac{1}{6 - 2 \sqrt{5} } + \frac{6 - 2 \sqrt{5} }{16} \\ \\ \sf \: \frac{6 + 2 \sqrt{5} }{16} + \frac{2(3 - \sqrt{5} )}{16} \\ \\ \sf \: \frac{3 + \sqrt{5} }{8} + \frac{3 - \sqrt{5} }{8} \\ \\ \sf \: \frac{3 + \sqrt{5} + 3 - \sqrt{5} }{8} \\ \\ \sf \: \frac{6}{8} = \frac{3}{4} [/tex]
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