Completing the Square with Complex Solutions

If the discriminant is negative, then the quadratic has:

• 1 Rational Solution

• 2 Rational Solutions

• 2 Irrational Solutions

• 2 Complex Solutions

Solve for x:

3x² - 6x + 6 = 0

• x = 1± i

• x = 3, -6

• x = 4.8, 2.7

• Undefined

If the discriminant of a quadratic equation is -42, the following is true about the solutions:

• 1 solution

• 2 solutions

• rational

• irrational

• complex

If the discriminant is negative, you will have....

• two real solutions

• two irrational solutions

• two imaginary solutions

• one solution

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

Solve 2x² – 6x + 5 = 0 

• x=3/2±i/2

• x=3 ± i/2

• x=3/2 ± i

• x=3±i

If the value of the discriminant is -20, what type of solutions would that represent for the quadratic equation?

• two real solutions

• two imaginary (complex) solutions

• a double root (the same real solution twice)

• one real solution

Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.