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
