Quadratic formula and discriminant

What is the quadratic formula?

• $x=\frac{b-\sqrt{\left(b\right)^2-4\left(a\right)\left(c\right)}}{2\left(a\right)}$

• $x=\frac{-\left(b\right)\pm\sqrt{\left(b\right)^2-4\left(a\right)\left(c\right)}}{2\left(a\right)}$

• $x=\frac{\left(b\right)\pm\sqrt{\left(b\right)^2-4\left(a\right)\left(c\right)}}{2a}$

• $x=-\left(b\right)\pm\sqrt{b\pm4\left(a\right)\left(c\right)}$

Tags

CCSS.HSA-REI.B.4B

Solutions of a quadratic equation are also called

• roots

• x-intercepts

• zeros

• All of the above

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

What is the most efficient method would you use to solve $x^2-16=0$   

• Factoring Method

• Completing the Square Method

• Quadratic Formula

• Square Root Method

Tags

CCSS.HSA-REI.B.4B

Identify a, b and c in the quadratic equation: $2x^2-3x-5=0$   

• a = 2 , b = 3, c = -5

• a = 2, b = -3, c = 5

• a = 2, b = -3, c = -5

• a = -2, b = 3, c = 5

Tags

CCSS.HSA.REI.B.4

If the discriminant of the quadratic equation is equal to 0, how many real solutions are there?

• None

• One

• Two

• Infinite

Tags

CCSS.HSA-REI.B.4B

If the discriminant of the quadratic equation is equal to 4, how many real solutions are there?

• None

• One

• Two

• Infinite

Tags

CCSS.HSA-REI.B.4B

If the discriminant is equal to -2, how many real solutions are there?

• None

• One

• Two

• Infinite

Tags

CCSS.HSA-REI.B.4B

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• No Real Solution

• 
• 
• 

Tags

CCSS.HSA-REI.B.4B

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

___________

y = x² + 4x + 4

• Positive

• Negative

• Zero

Tags

CCSS.HSA-REI.B.4B

What is the value of the discriminant of -2x² − x − 1 = 0

• 76

• -7

• 9

• none of these

Tags

CCSS.HSA-REI.B.4B