Quadratic Formula Complex Solutions

Solve -2x² + 4x = 9

• (2 - i√14)/2   ,   (2 + i√14)/2

• (2 - i√-56)/2   ,   (2 + i√-56)/2

• (2 - i√-14)/2   ,   (2 + i√-14)/2

• (2 - √14)/2   ,   (2 + √14)/2

Will the following equation have an IMAGINARY answer
11x²-9x+3=0

• yes

• no

The discriminant is

• aX²  + bX  +  c

• b - 4ac

• b² - 4ac

• b² + 4ac

Determine the value of the discriminant and name the nature of the solution for the following:

x² + 7x + 13

Remember: b² - 4ac

• 400 -:2 real, rational

• 0 :1 real, rational

• √(-400) -:2 non-real complex - imaginary

• -3 : 2 non-real , imaginary

Solve x² - 5x + 10 = 0

• (5 - i√15)/2  ,  (5 + i√15)/2

• (5 - √15)/2  ,  (5 + √15)/2

• (5 - i√65)/2  ,  (5 + i√65)/2

• (5 - √65)/2  ,  (5 + √65)/2

Solve by ANY method you have learned: x²−2x+11=0

• 1±i√10

• 1±√10

• -1±i√10

• -1±√10

x² - 5x + 10 = 0

• (5 - i√15)/2  ,  (5 + i√15)/2

• (5 - √15)/2  ,  (5 + √15)/2

• (5 - i√65)/2  ,  (5 + i√65)/2

• (5 - √65)/2  ,  (5 + √65)/2

If the discriminant is equal to 0, how many solutions are there?

• No solutions

• 1 Solution

• 2 Solutions

• Infinite solutions

If the discriminant is equal to -2, how many solutions are there?

• No Solutions

• 1 Solution

• 2 Solutions

• Infinite Solutions

Solve for a and put in simplest radical form.

• A

• B

• C

• D