Question

Matematika - Persamaan Kuadrat. tolong bantu pakai cara. buat yang bisa aja. jangan asal jawab

Answer 1

P = (x^2 - 4x + 2)/(x - 1)^2

p(x - 1)^2 = x^2 - 4x + 2
p(x^2 - 2x + 1) = x^2 - 4x + 2
px^2 - 2px + p  = x^2 - 4x + 2
px^2 - x^2 - 2px + 4x + p - 2 = 0
(p - 1)x^2 + (4 - 2p)x + p - 2 = 0

syarat akar kembar, D = 0
b^2 - 4ac = 0
(4 - 2p)^2 - 4(p - 1)(p -2) = 0
(16 - 16p + 4p^2) - 4(p^2 - 3p + 2) = 0
4p^2 - 4p^2 - 16p + 12p + 16 - 8 = 0
-4p + 8 = 0
4p = 8
p = 8/4
p = 2

===

x^2 + (2p - 8)x - 3p = 0

2p - 8 = 0
2p = 8
p = 8/2
p = 4