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21 September, 21:01

X^2+6x+90=0

A) x=-3+9i, - 3-9i

B) x=-12

C) x=6,-12

D) x=-3+9i

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Answers (1)
  1. 21 September, 22:22
    0
    First, we con solve the quadratic by completing the squares

    x^2 + 6x + 90 = 0

    x^2 + 6x = - 90

    x^2 + 6x + 9 = - 81 (to complete the square, half teh b calue squared gives us the c value)

    (x + 3) ^2 = - 81

    x + 3 = + √ (-81) and - √-81

    x + 3 = 9i and - 9i

    x = - 3 + 9i and - 3 - 9i

    Choice A is correct
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