Question

QUESTION 6

Which choice represents the solutions to the equation shown below?
(x^2+9)(25x^2-100x+100)

A.
There are two solutions, one complex and one real.
B.
There are three solutions, one complex and two real.
C.
There are three solutions, two complex and one real.
D.
There are four solutions, two complex and two real.

Answer 1

(x²+9)*(25(x²-4x+4))

x=±√-36/2, so x=±3i
x=4±√(16-16)/2, so x=2 is a double root
depends on how your teacher instructed you to county roots. there are 2 complex solutions and two real solutions because 2 is a double root. that would be D. however there are only 3 DISTINCT roots, , 3i, -3i, and 2 which would be C. The CORRECT answer to a mathematician would be D