Quadratic With Non Real Solutions

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

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

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

• yes

• no

If the discriminant is negative, then the quadratic has:

• Real Solution

• Real Solutions

• Half a Solution

• No Real Solutions

Determine the value of the discriminant and state the number of real solutions.
x² + 7x + 13=0
Remember:  b² - 4ac

• 400 ; 2 real solutions

• 0 ; 1 real solution

• √(-400) ; 2 non-real complex - imaginary

• -3 ; no real solutions

If the discriminant is negative, then the quadratic has:

• Real Solution

• Real Solutions

• Half a Solution

• No Real Solutions

When solving a quadratic equation, if you have the number under the radical what would your answer look like?

• 1 answer

• 2 decimals/radicals

• no real solution

• 2 whole/fractions

Matching. When solving a quadratic equation, if you have the number under the radical what would your answer look like?

• 1 answer

• 2 decimals/radicals

• 2 whole/fractions

• no real solution

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.

The discriminant is

• aX²  + bX  +  c

• b - 4ac

• b² - 4ac

• b² + 4ac