Question

Can someone help? it’s algebra 2, and due tonight

Answer 1

Answer:

B 71/8

Step-by-step 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