Question

NEED TO FIGURE THIS OUT RIGHT NOW CAN SOMEBODY PLEASE HELP ME? ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Find a quadratic equation with roots -1+4i and -1-4i

Answer 1

c

Explanation:

Given the roots are x = - 1 + 4i and x = - 1 - 4i then the factors are

(x - (- 1 + 4i))(x - (- 1 - 4i))

= (x + 1- 4i )(x + 1 + 4i )

= (x + 1)² - 16i² → [ i² = - 1 ]

Expand and simplify

= x² + 2x + 1 + 16

Hence

x² + 2x + 17 = 0 → c