M314 Unit 8 Quiz

What is the formula for the discriminant?

• x = -b/2a

• b² - 4ac

• a² + b² = c²

• x = [-b±√(b²-4ac)]/2a

Tags

CCSS.HSA-REI.B.4B

The discriminant tells you the ______

• a) time

• b) number of roots

• c) type of roots

• d) both b and c

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

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

___________

y = x² + 4x + 4

• Positive

• Negative

• Zero

• Not Sure

Tags

CCSS.HSA-REI.B.4B

What is the discriminant of 6x² − 2x − 3 = 0

• 76

• 29

• 68

• none of these

Tags

CCSS.HSA-REI.B.4B

Solve.

x²−2x+11=0

• 1±i√10

• 1±√10

• -1±i√10

• -1±√10

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve by the Quadratic Formula:

 $-12q^2+3q+7=0$  

•  $\frac{-3\pm\sqrt{345}}{24}$  

•  $\frac{3\pm\sqrt{345}}{-24}$  

•  $\frac{3\pm\sqrt{345}}{24}$  

•  $\frac{3\pm i\sqrt{39}}{24}$  

Tags

CCSS.HSA-REI.B.4B

Solve using the Quadratic Formula:

 $x^2+6x+27=0$  

•  $3\pm\sqrt{18}$  

•  $3\pm i\sqrt{18}$  

•  $-3\pm i\sqrt{18}$  

•  $-3\pm\sqrt{18}$  

Solve By Quadratic Formula:

 $p^2-10p-52=0$  

•  $5\pm\sqrt{77}$  

•  $-5\pm\sqrt{77}$  

•  $5\pm77$  

•  $5+i\sqrt{77}$  

What is the discriminant and nature of the root(s) of -2x² − x − 1 = 0

• 76, two irrational

• -7, two complex

• 9, two rational

• none of these

Tags

CCSS.HSA-REI.B.4B