Answer:
B 71/8
Explanation:
2x² - 5x = -12
2x² - 5x + 12 = 0 (EQ 1)
expand 2(x - p)² + q = 0 ,
since (x - p)² = x² - 2xp + pq,
2x² - 4xp +2p² + q = 0 (EQ 2)
compare x⁰ (just a number, without x) in EQ 1 and EQ 2.
2p² + q = 12 (EQ 3)
compare x in EQ 1 and EQ 2,
-4p = -5
p = 5/4
Substitute p=5/4 into EQ 3,
2(5/4)² + q =12
q = 12 - 2(5/4)²
q= 71/8