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Diketahui x₁ - x₂ = 1
rumus selisih akar-akar = | √D / a |
√ [b² - 4ac]
x₁ - x₂ = ---------------
a
√ [(- a)² - 4(1)(a + 1)]
1 = -----------------------------
1
√ [a² - 4a - 4] = 1 ⇒ kuadratkan kedua ruas
a² - 4a - 4 = 1
a² - 4a - 5 = 0
(a - 5)(a + 1) = 0
Diperoleh a = - 1 atau a = 5