Quadratic Equations Discriminant

If the discriminant is positive, d ​ (a)   0, then there are ​ (b)   real solutions.

If the discriminant is zero, d ​ (c)   0, then there is ​ (d)   real solution.

If the discriminant is negative, d ​ (e)   0, then there are no real solutions.

• >
• 2
• =
• 1
• <
• 0
• 3
• ≧
• ≦

Tags

CCSS.HSA-REI.B.4B

Which graph has a discriminant = negative number?

• None of them

• Red

• Blue

• Green

Solve    2x² + 7x - 15 = 0

• -1.5 or 5

• No Solution

• -5 or 1.5

• 0.7 or 5

Tags

CCSS.HSA-REI.B.4B

The discriminant is

• ax² + bx + c

• b - 4ac

• b² - 4ac

• b² + 4ac

Tags

CCSS.HSA-REI.B.4B

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

• no real solutions (imaginary)

• 1 real solution

• 2 real solutions

• more than 2 solutions

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

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

• Positive

• Negative

• Zero

• Not Sure

The formula
b² - 4ac
is called the

• quadratic formula

• factored form

• vertex formula

• the discriminant

Tags

CCSS.HSA-REI.B.4B

If the discriminant is greater than zero, the equation has

• solution

• solutions

• no solutions

Tags

CCSS.HSA-REI.B.4B