Complex Solutions

What is this formula?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

Simplify:
√-108

• 3i√6

• 3i√20

• 6i√3

• 20i√3

Solve by taking square roots:

k² - 6 = -50

• k = ±4i√11

• k = ±4√11

• k = ±2i√11

• k = ±2√11

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

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

• x = {-3 + 2i, -3 - 2i}

• x = {7, 6}

• x = 2 ± i√3

• No solution

• x = {-4, -1}

• x = {-1, -4}

• x = {2 + i, 2 - i}

• x = {-2 + i, -2 - i}