Quadratic Equation with Complex 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

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

How many solutions does this equation have?

• 2 Real Solutions

• 1 Real Solution

• 2 Complex Solutions

• A
• B
• C
• D

• A
• B
• C
• D

When does a quadratic equation have complex solutions?

• When the discriminant is positive.

• When the quadratic equation has only one solution.

• When the discriminant is zero.

• When the discriminant is negative.

Answer explanation

A quadratic equation has complex solutions when the discriminant is negative.

If the discriminant is negative, then the quadratic has:

• Real Solution

• Real Solutions

• Half a Solution

• No Real Solutions

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

• Two real solutions

• Two imaginary solutions

• One real solution

• No solution

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

• b²

• ±

• b² - 4ac

• 2a