Classwork on discriminants

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

Determine the value of the discriminant and name the nature of the solution for the following:

x² + 2x - 63

Remember: b² - 4ac

• 256 - 2 reals - Rational

• √(-256 - 2 imaginary solutions

• √(137) - 2 reals - Irrational

• 123 - 2 reals - Rational

Find the discriminant of the following equation.

3x² -x- 2 = 0

• 5
• 25
• -24
• -26

What does the discriminant tell us?

• The maximum or minimum
• The y-intercept
• The number and type of solutions
• The axis of symmetry

Tags

CCSS.HSA-REI.B.4B

If the discriminant is zero you will have

• no real solutions
• two real solutions
• 1 real solution (multiplicity of 2)
• 1 imaginary solution

Tags

CCSS.HSA-REI.B.4B

If the discriminant is positive, then the solution will be

• one real solution
• two real solutions
• no real solutions
• one imaginary solution

Tags

CCSS.HSA-REI.B.4B

If the discriminant is negative, then the solution will be

• one real solution
• two real solutions
• two imaginary solutions
• one imaginary solution

Tags

CCSS.HSA-REI.B.4B

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter 

• a=0, b=5, c=7
• a=1, b=5, c=7
• a=7, b=5, c=1

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

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

• Positive
• Negative
• Zero
• Not Sure