Quadratics and Imaginary Solutions

Which is a solution to (½)x² + 8 = 0

• - 4i

• 16i

• - 16i

• 1

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 -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 discriminant of the quadratic formula?

• b²-4a

• b²-4ac

• b-4ac

• b²-ac

Which is a solution to 3x² + 2 = 0

• 1
• (√6/3)i
• (⅔)i
• ⅔

How does the quadratic equation show that there should be two complex solutions?

• b²

• ±

• b² - 4ac

• 2a

If b²-4ac is 0, the quadratic equation has:

• Two real solutions that are different

• Two imaginary solutions that are different

• A real double solution

• An imaginary double solution

If b²-4ac is negative, the quadratic equation has:

• Two real solutions that are different

• Two imaginary solutions that are different

• One real solution

• One imaginary solution

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.

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.