Understanding quadratic equations in one variable

If the discriminant equals 0, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• 2 Imaginary Solutions

Tags

CCSS.HSA-REI.B.4B

We found the discriminant of -2x² − x − 1 = 0 to be -7. How many real solutions does the function have?

• Two

• One

• None

Tags

CCSS.HSA-REI.B.4B

If the discriminant equals 0, then the quadratic has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• No Real Solution

Tags

CCSS.HSA-REI.B.4B

If a quadratic equation has no real roots the value of the discriminant could be

Tags

CCSS.HSA-REI.B.4B

The discriminant is equal to

• √(b²-4ac)
• b²-4ac
• -b±(b²-4ac)
• {-b±(b²-4ac)/2a}

Tags

CCSS.HSA-REI.B.4B

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

• Two real solutions

• Two imaginary solutions

• One real solution

• No solution

Tags

CCSS.HSA-REI.B.4B

If the Discriminate is greater than 0 it has how many roots?

• 0

• 1

• 2

• 3

Tags

CCSS.HSA-REI.B.4B

Use the discriminant to determine the number of solutions:   $-9x^2-7x+2$  

• no real solutions (imaginary)

• 1 real solution

• 2 real solutions

• more than 2 solutions

Tags

CCSS.HSA-REI.B.4B

If the discriminant is negative, how many solutions does the graph have?

• 2 real

• 1 real

• 2 imaginary

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

• something strange

Tags

CCSS.HSA-REI.B.4B