Question

1. Which of the following is a quadratic equation?
A) x2 + x3 = 2 B)p(p – 3) = 0 C) x2 = 6 + x2 - x D) x2 + 1 = 5​

Answer 1

Answer:

B and D

Step-by-step explanation:

the highest power in the equation has to be 2 for a quadratic equation. C is not a quadratic equation because X2 terms cancel out since they are on both sides

Answer 2

Answer:

2

+(p+iq)x+3i=0

α+β=−(p−iq),αβ=3i

α

2

+β

2

=(α+β)

2

−2αβ=[−(p+iq)]

2

−6i

=(p

2

−q

2

)+i(2pq−6)=8

⇒p

2

−q

2

=8 and pq=3

⇒p=3,q=1 or p=−3,q=−1