Solusi n^2+n+m bilangan kuadrat sempurna

Salah satu (karena belum dibuktikan unik) solusi n² + n + m adalah bilangan kuadrat sempurna dengan m bilangan bulat positif adalah n = m – 1

Bukti :

n² + n + m
= n(n+1) + m

misalkan n+1=m
=(m-1)m + m
=m ( m-1+1)
=m²

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