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Which of the following equations have two complex solutions? Select all that apply.
(CHECK IMAGE ATTACHED)

Which Of The Following Equations Have Two Complex Solutions Select All That Apply CHECK IMAGE ATTACHED class=

Sagot :

Correct Answer: A and F!!

A- 3x^2+ 5x + 10=0

F- 2x^2 + 12 = -9x

Step-by-step explanation: Just did it and it’s right, hope that helped!! :)

Abidemiokinidn

The equations that have two complex solutions are 3x^2 + 5x + 10 = 0 and 2x^2 + 12 = -9x

For a quadratic equation to have a complex solution, hence the discriminant must be less than zero.

The discriminant is expressed as:

D = b^2 - 4ac

For the equation 10x^2 - 10 = 0

D = 0^2 - 4(10)(-10)

D = 400

Option B is false.

For the equation 3x^2 + 5x + 10 = 0

D = 5^2 - 4(3)(10)

D = 25 - 120

D = -95

Since D < 0, hence the equations 3x^2 + 5x + 10 = 0 have two complex solutions

For the equation 2x^2 + 12 = -9x

D = 9^2 - 4(2)(12)

D = 81 - 96

D = -15

Since D < 0, hence the equations 2x^2 + 12 = -9x have two complex solutions

Learn more on quadratic equations here: https://brainly.com/question/1214333

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