中四數學(一元二次方程)

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

delta = 0
(4p+1)^2 -4(2)(2p) = 0
16p^2 +8p+1-16p = 0
16p^2 -8p+1 = 0
(4p-1)^2 = 0
p = 1/4

2a)
4x^2 -(k+2)x + (k-1) = 0
delta = 0
(k+2)^2 -4(4)(k+1) = 0
k^2 +4k+4-16k+16 = 0
K^2 -12k +20 = 0
(k-10)(k-2) = 0
k = 10 OR k=2

if k = 10
4x^2 -12x +9 = 0
(2x-3)^2 = 0
X = 3/2

if k = 2
4x^2 -4x +1 = 0
(2x-1)^2 = 0
X = 1/2

NOTE: delta = b^2 -4ac
可能有錯= =||冇check過~.~

Good