Find the Roots of Quadratics

The discriminant is

• ax² + bx + c

• √(b² - 4ac)

• b² - 4ac

• b² + 4ac

Which of the following quadratic equations have exactly one real solution?

• 5x² + 6x + 9 = 0

• -3x² - 7x - 12 = - 2

• 3x² + 6x = -3

• -4x² + 8x - 9 = - 5

A function has a discriminant of 25.

______________

How many solutions does it have?

• 0

• 1

• 2

• Cannot determine (not enough information)

Which of the following quadratic equations have two real solutions?

• -7x² - x + 6 = 6

• 4x² + 2x - 2 = 2

• 9x² - 6x - 3 = -4

• 9x² + 7x - 2 = 0

If the discriminant is positive, then the solution will be

• one real solution

• two real solutions

• no real solutions

• two imaginary solutions

If b² - 4ac > 0 and not a perfect square, then the roots of ax² + bx + c = 0 are

• Equal

• Irrational

• Rational

• Imaginary

If b² - 4ac > 0, then the roots of ax² + bx + c = 0 are

• Equal

• Irrational

• Rational

• Real

Find the value of the discriminant. Then describe the number and type of roots for 3x² − 6x + 2 = 0

• Since the discriminant is greater than 0 and is a perfect square, the two roots are real and rational.

• Since the discriminant is greater than 0 and is not a perfect square, the roots are real and irrational.

• Since the discriminant is less than 0, the roots are non-real.

• Since the discriminant is equal to 0, the roots are equal and real.

The expression ax² - bx = 0 has the solution x = 0...

• Always

• Sometimes

• Never

For the function above, is the discriminant positive, negative, or zero?

• Positive

• Negative

• Zero

• Cannot Determine