diketahui a dan b adalah akar akar dari persamaan 2px^2 - 4px + 5p =3x^2 +x - 8. jika ab=2 (a+b). maka nilai a + b = ...

2px² - 4px + 5p = 3x² + x - 8
2px² - 3x² - 4px - x + 5p + 8 = 0
(2p-3)x² - (4p+1)x + 5p + 8 = 0
a + b = -(-(4p+1)) / (2p-3)
a + b = (4p+1) / (2p-3)
a.b = (5p+8) / (2p-3)
a.b = 2(a+b)
(5p+8)/(2p-3) = 2(4p+1)/(2p-3)
5p + 8 = 2(4p+1)
5p + 8 = 8p + 2
8 - 2 = 8p - 5p
6 = 3p
p = 6/3 = 2
a + b = (4p+1)/(2p-3)
= (4.2 + 1) / (2.2 - 3)
= (8+1) / (4-3)
= 9