Jawab:(a.) Hp = {4, -2}(b.) Hp = {-³/₂, -2}
Penjelasan :(a.) x² - 2x - 8 = 0-> Ax² + Bx + C = 0A = 1, B = -2, C = -8p dan q akar-akar persamaanp+q = -B/A, pq = C/Ap+q = -(-2/1), pq = -8/1p+q = 2 pq = -84 - 2 = 2 4(-2) = -8p = 4, q = -2Hp = {p, q}Hp = {4, -2}-------------------------------------------2x² + 7x + 6 = 8 mungkinmaksudnya 2x² + 7x + 6 = 0karena 2x² + 7x + 6 = 8 hanyadapat dicari lewat kuadratsempurna dan rumus abc saja(b.) 2x² + 7x + 6 = 0(2÷2)x² + ⁷/₂ x + ⁶/₂ = 0-> x² + ⁷/₂ x + ⁶/₂ = 0-> x² + ⁷/₂ x + ⁶⁽²⁾/₂₍₂₎ = 0-> x² + ⁷/₂ x + ¹²/₄ = 0-> Ax² + Bx + C = 0A = 1, B = ⁷/₂, C = ¹²/₄p dan q akar-akar persamaanp+q = -B/A, pq = C/Ap+q = -(⁷/₂)/1, pq = (¹²/₄)/1p+q = -⁷/₂, pq = ¹²/₄-³/₂+(-⁴/₂) = -⁷/₂ -³/₂(-⁴/₂) = ¹²/₄p = -³/₂, q = -⁴/₂p = -³/₂, q = -2Hp = {p, q}Hp = {-³/₂, -2}
(xcvi)