Question

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1. Himpunan penyelesaian dari persamaan 2(p+3) = 7√p adalah ....
2. Nilai x yang memenuhi persamaan 12√x = 6√x²+3 adalah ....

Answer 1

Verified answer

1.
2(p + 3) = 7√p
(2p + 6)² = (7√p)²
4p² + 24p + 36 = 49p
4p² - 25p + 36 = 0
(4x - 9)(x - 4) = 0
4x - 9 = 0 ---> x = 9/4
x - 4 = 0 --> x = 4

HP = {4, 9/4}

2.
12√x = 6√(x² + 3)
(12√x)² = (6√(x² + 3))²
144x = 36(x² + 3)
36x² - 144x + 108 = 0 ... Bagi 36
x² - 4x + 3 = 0
(x - 1)(x - 3) = 0
x - 1 = 0 --> x = 1
x - 3 = 0 --> x = 3

HP = {1 , 3}