a. 3k² + 72 = 33k
3k² - 33k + 72 = 0
k² - 11k + 24 = 0
(k - 8)(k - 3) = 0
k = 8, 3
b. 10a² - 35 = 65a
10a² - 65a - 35 = 0
2a² - 13a - 7 = 0
(2a - 1)(a - 7) = 0
a = 1/2, 7
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Verified answer
a. 3k² + 72 = 33k
3k² - 33k + 72 = 0
k² - 11k + 24 = 0
(k - 8)(k - 3) = 0
k = 8, 3
b. 10a² - 35 = 65a
10a² - 65a - 35 = 0
2a² - 13a - 7 = 0
(2a - 1)(a - 7) = 0
a = 1/2, 7