Tolong jawab dengan cara ya kakak

p : q = 2 : 1
p/q = 2/1
p × 1 = q × 2
p = 2q

p + q = -b/a = -(a - 2)/1
2q + q = -a + 2
3q = 2 - a
q = (2 - a)/3

p . q = c/a = (a²-2a)/1
2q . q = a² - 2a
2q² = a² - 2a
2{(2 - a)/3}² = a² - 2a
2(2 - a)²/3² = a² - 2a
2(4 - 4a + a²) / 9 = a² - 2a
2(4 - 4a + a²) = 9(a² - 2a)
8 - 8a + 2a² = 9a² - 18a
0 = 9a² - 2a² - 18a + 8a - 8
7a² - 10a - 8 = 0
(7a + 4)(a - 2) = 0
a = -4/7 atau a = 2
jika a = 2
x² - (2-2)x + 2² - 2(2) = 0
x² = 0
p + q = 0
jika a = -4/7
x² - (-4/7 - 2)x + (-4/7)² - 2(-4/7) = 0
x² + (4/7 + 14/7)x + 16/49 + 8/7 = 0
x² + (18/7)x + 72/7 = 0
p + q = -b/a = -(18/7) / 1 = -18/7