Question

Tolongg donggg hehehe

Answer 1

Verified answer

2x² - (p + 2)x + 6 = 0
Diketahui
a = 2
b = - (p + 2)
c = 6

x1 + x2 = -b/a = (p + 2)/2
x1x2 = c/a = 6/2 = 3

x1² + x2² = 30
(x1 + x2)² - 2x1x2 = 30
{(p + 2)/2)}² - 2(3) = 30
(p² + 4p + 4)/4 - 6 = 30
(p² + 4p + 4)/4 = 30 + 6
p² + 4p + 4 = 36(4)
p² + 4p + 4 = 144
p² + 4p + 4 - 144 = 0
p² + 4p - 140 = 0
(p + 14) (p - 10) = 0
• p + 14 = 0 maka p = -14
• p - 10 = 0 maka p = 10

• untuk p = -14
p² - 2p + 1
= (-14)² - 2(-14) + 1
= 196 + 28 + 1
= 225

• untuk p = 10
p² - 2p + 1
= 10² - 2(10) + 1
= 100 - 20 + 1
= 81

Jawabannya A