Equations with Real and Imaginary Numbers

Which of the following indicates that a quadratic equation has complex solutions?

• The discriminant is greater than zero

• The discriminant is equal to zero

• The coefficients are all positive

• The discriminant is less than zero

Which of the following is true about complex solutions in projectile motion?

• They are always negative

• They indicate a non-real maximum height

• They are only found in linear equations

• They indicate a real maximum height

If the discriminant is positive, then the solution will be

• One real solution

• two real solutions

• two non-real solutions

• all real numbers

If the discriminant is negative, then the solution will be

• one real solution

• two real solutions

• two non-real solutions

• all real numbers

• 2 real solutions

• 2 non-real solutions

• 1 real solution

• 1 non-real solution

Simplify:

(10+ 15i) - (48 - 30i)

• 58 - 45i

• 58 - 15i

• -38 - 15i

• -38 + 45i

Find the sum.

(5-2i) + (-7+8i)

• -2+6i

• 12+6i

• -35-16i²

• -35 -16i

• Multiply the top and bottom by 3-2i

• Multiply the top and bottom by 5 + 8i

• multiply the top by 5 + 8i and the bottom by 3 - 2i

• Multiply the top and bottom by -3 - 2i

• A

• B

• C

• D

Simplify

• ± 6

• ± 6i

• ± √6i

• ± √6