Jika log (2x^2 - 9x + 22) = 1 mempunyai akar-akar p dan q, tentukan nilai a. p^2 + q^2

log (2x² - 9x + 22) = 1
2x² - 9x + 22 = 10^1
2x² - 9x + 12 = 0
p + q = -b/a = -(-9)/2 = 9/2
pq = c/a = 12/2 = 6

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p² + q²
= (p + q)² - 2pq
= (9/2)² - 2.6
= 81/4 - 48/4
= 33/4