Solve Quadratic with Complex

What is the discriminate of f(x) = 3x² - 5x + 8
and how many solutions does the function have?

• discriminate = -71 and two imaginary solutions

• discriminate = -121 and has two imaginary solutions

• the discriminate = - 71 and has two real solutions

• the disctiminate = -121 and has two real solutions

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

• yes

• no

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

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

• No Solutions

• 1 Solution

• 2 Solutions

• Infinite Solutions

If the graph of a quadratic does not touch the x-axis at any point, then it has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• No Real Solution

Solve for x: 

• x = {-4, -1}

• x = {-1, -4}

• x = {2+i, 2-i}

• x = {-2+i, -2-i}

Another way to express √-1 is?

• 1

• -1

• i

• 0

Solve for x

3x² - 6 = -9

• ±1

• ±i

• ±3

• ±3i

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

Which is a solution to (½)x² + 8 = 0

• - 4i

• 16i

• - 16i

• 1