Quadratic Formula

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Write down: a=1, b=6, c=-13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.

Tags

CCSS.HSA-REI.B.4B

Solve Using the Quadratic Formula 
2x² + 7x - 15 = 0

• -1.5 or 5
• No Solution
• -5 or 1.5
• 0.7 or 5

Tags

CCSS.HSA-REI.B.4B

Identify the 'c' value: y = 16x² -8x -24

• 16
• -8
• 24
• -24

Name "c" for the equation
4x² - 5x + 7 = 10

• 7
• 17
• -5
• -3

Tags

CCSS.HSA-REI.B.4B

Determine the values of A,  B, and C for the quadratic equation:

 $4x^2\ -\ 8x\ =\ 3$  

•  $A\ =\ 4,\ B\ =\ -8,\ C\ =\ 3$  

•  $A=4,\ B=-8,\ C=-3$  

•  $A=4,\ B=8,\ C=3$  

•  $A=4,\ B=8,\ C=-3$  

Answer explanation

Don't forget, quadratic equations are of the form  $Ax^2\ +\ Bx\ +\ C\ =\ 0$  , so all of the values must be on the same side of the equation before you can determine A, B, and C.

When a quadratic equation is graphed, it creates a

• Square

• Circle

• Parabola

• Line

Tags

CCSS.HSF-IF.C.7A

If the discriminant equals 0, then the quadratic has:

• 1 Solution

• 2 Real Solutions

• No solutions

• 2 Imaginary Solutions

• 1 Real Solution, and an Imaginary Solution named Harvey.

Tags

CCSS.HSA-REI.B.4B

If the discriminant is negative, you will have....

• two real solutions
• two irrational solutions
• two imaginary solutions
• one solution

Tags

CCSS.HSA-REI.B.4B

Solve using the quadratic formula.

 $2x^2\ -\ 9x\ -35\ =\ 0$  

•  $x\ =\ \frac{7}{2}\$  and  $-6$  

•  $x\ =\ -\frac{5}{2}\$ and  $5$  

•  $x\ =\ \frac{3}{7}\$ and  $6$  

•  $x\ =\ -\frac{5}{2}\$  and  $7$  

Answer explanation

 $\frac{\left(9\pm\sqrt{361}\right)}{4}$  

Tags

CCSS.HSA-REI.B.4B

This graph represents a quadratic equation that will have:

• 2 imaginary roots

• 2 real roots

• 1 real root and 1 imaginary root

Answer explanation

Since the graph doesn't cross the x-axis, no value of x will make the equation equal zero. Thus, the equation has two imaginary roots.

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7