Jawab:
(1a)  x² + 10x + 24 = 0   Hp = {-6,  -4}
(1b)  x² + 10x - 24 = 0   Hp = {-12,  2}
(2.)  2x² - x - 3 = 0        Hp = {-1 ,³/₂}

Penjelasan:
Biar gak salah tafsir
(1a)  x² + 10x + 24 = 0
x² + 10x = -24
ax² + bx = -c
∵ ax² + bx + (½·b)² = -c + (½·b)² ∴
x² + 10x + (½·10)² = -24 + (½·10)²
x² + 10x + 5² = -24 + 5²
x² + 2x(5) + 5² = -24 + 25
∵ x² + 2x(y) + y² = (x+y)² ∴
(x+5)² = 25 - 24
(x+5)² = 1
x+5 = ±√1    x = (±√1)-5  x = ±1-5
Hp = {-1-5,  1-5}
Hp = {-(1+5),  -(5-1)}
Hp = {-6,  -4}
________________
(1b)  x² + 10x - 24 = 0
x² + 10x = 24
ax² + bx = -c
∵ ax² + bx + (½·b)² = -c + (½·b)² ∴
x² + 10x + (½·10)² = 24 + (½·10)²
x² + 10x + 5² = 24 + 5²
x² + 2x(5) + 5² = 24 + 25
∵ x² + 2x(y) + y² = (x+y)² ∴
(x+5)² = 49
x+5 = ±√49    x = (±√49)-5  x = ±7-5
Hp = {-7-5,  7-5}
Hp = {-(7+5),  2}
Hp = {-12,  2}
________________
(2.)  2x² - x - 3 = 0
2x² - x = 3
(²/₂) x² - (½) x = ³/₂
x² - (½) x = ³/₂
∵ ax² + bx + (½·b)² = -c + (½·b)² ∴
x² - (½) x + (½(-½))² = ³/₂ + (½(-½))²
x² - (½) x + (-¼)² = ²⁺¹/₂ + (-¼)²
x² - (½) x + (¼)² = ²/₂ + ½ + ¹/₁₆
x² - 2x(¼) + (¼)² = 1 + ½ + ¹/₁₆
∵ x² - 2x(y) + y² = (x-y)² ∴
(x-¼)² = 1 + ⁸/₁₆ + ¹/₁₆
(x-¼)² = 1 + ⁹/₁₆
(x-¼)² = ¹⁶/₁₆ + ⁹/₁₆
(x-¼)² = ²⁵/₁₆
x-¼ = ±√(²⁵/₁₆)    x-¼ = ±⁵/₄
x = ±⁵/₄+¼
Hp = {-⁵/₄+¼ , ⁵/₄+¼}
Hp = {-⁴/₄ ,⁶/₄}
Hp = {-1 ,³/₂}
________________
(xcvi)