Solve Trinomials with Quadratic Formula

What is the quadratic formula used for?

• The quadratic formula is used to calculate the area of a circle.

• The quadratic formula is used to find the sum of two numbers.

• The quadratic formula is used to solve quadratic equations.

• The quadratic formula is used to determine the volume of a cube.

Tags

CCSS.HSA-REI.B.4B

Put the steps for using the Quadratic Formula in the correct order.

• Make sure the equation is set equal to 0 and written in standard form.

• Simplify under the radical

• Substitute a, b, and c into the formula.

• Solve the baby equations

• Identify a, b, and c.

Tags

CCSS.HSA-REI.B.4B

• x = -3 or x = -2

• x = 4 or x = 1

• x = 2 or x = 3

• x = 5 or x = 0

Tags

CCSS.HSA-REI.B.4B

What three methods of solving quadratics have we learned?

• Completing the Square

• The Quadratic Formula

• By Square roots

• Perfect Square Trinomials

Tags

CCSS.HSA-REI.B.4B

Select the solutions to the equation

4x² + 11x + 7 = 0

• x = - 1.75

• x = 6

• x = - 1

• x = 1

g

h

i

-6

5

-5

-4

4

7

6

1

-1

2

Tags

CCSS.HSA-REI.B.4B

• no solution

• no real numbers

• 7

• -8

• 11

• 19.29

• 4.39

• 0.56

• 0.16

Tags

CCSS.HSA-REI.B.4B

Fill in the formula x^2-6x-40=0 ​ BLUE=​ (a)   RED= ​ (b)   GREEN= ​ (c)  

• -6

• 1

• -40

• -1

• 6

• 40

Tags

CCSS.HSA-REI.B.4B

The quadratic function y = -2x² + 4x + 6 is pictured. What are the solutions to the equation 7.5 = -2x² + 4x + 6?

• x = 0.5

• x = 1.5

• x = 1

• x = 8

• x = 6

Fill in the formula =​ = ​ = ​

• -6

• 1

• -40

• -1

• 6

• 40

Tags

CCSS.HSA-REI.B.4B