jakaristarks11
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HURRY I NEED HELP!!!!!
State the number of complex roots and the possible number of real and imaginary roots for each equation. Then find all roots, be sure to show all work!
(equations are in the image below)

HURRY I NEED HELP State the number of complex roots and the possible number of real and imaginary roots for each equation Then find all roots be sure to show al class=

Respuesta :

mhanifa

Answer:

  • Both have 4 imaginary roots

Step-by-step explanation:

1)

  • (x^2 + 9)(x^2 + 6) = 0

1.

  • x^2 + 9 = 0
  • x^2 = - 9
  • x = ± √-9
  • x = ± 3i

2.

  • x^2 + 6 = 0
  • x^2 = -6
  • x = ±√-6
  • x = ± i√6

It has 4 imaginary roots and no real roots

2)

  • (x^2 + 7)(x^2 + 5) = 0

1.

  • x^2 + 7 = 0
  • x^2 = -7
  • x = ± √7
  • x = ± i√7

2.

  • x^2 + 5 = 0
  • x^2 = - 5
  • x = ± √-5
  • x = ± i√5

It has 4 imaginary roots and no real roots

#1

  • (x²+9)(x²+6)=0

First

  • x²=-9
  • x=±3i

second

  • x²=-6
  • x=±√6i

4complex roots

#2

  • (x²+7)(x²+5)=0

first

  • x²=-7
  • x=±√7i

Second

  • x²=-5
  • x=±√5i

4 complex roots