Question

Maka nilai k adalah?

Answer 1

Verified answer

X² - kx + 1/3 k + 1 = 0, dengan x2 = 2x1

x1 + x2 = k
x1 + 2x1 = k
3x1 = k
x1 = k/3 ..... persamaan 1

x1x2 = 1/3k + 1
x1 . 2x1 = 1/3(k + 3)
2x1² = 1/3(k + 3)
x1² = 1/6(k + 3)
k² / 9 = 1/6 (k + 3)
6k² = 9k + 27
============ dibagi 3
2k² = 3k + 9
2k² - 3k - 9 = 0
(k - 3)(2k + 3) = 9
k = 3 atau k = -3/2

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