Finding Solutions to Quadratics

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

Identify the a, b and c values for this equation:
3x² - 8x + 15 = 0

• a=3, b=8, c=0

• a=3, b=-8, c=15

• a=3, b=8, c=15

k² - 6 = 43

• k = √37

• k = 37 or - 37

• k = 7, k = -7

• no solution

Tags

CCSS.8.EE.A.2

• x=10

• x=-10

• x= -10, 10

• x= -50,50

Tags

CCSS.HSA-REI.B.4B

Suzie solves the equation below:
x² + 4x - 12 = 2
(x - 2)(x + 6) = 2, 
by setting x -2 = 0 and x + 6 = 0. 
Her solutions are x = 2 and x = -6.
Is Suzie correct? Why or why not?

• Yes, she factored correctly and then used the zero product property

• Yes, she factored correctly and then square rooted.

• No, she did factor correctly, but she can't use the zero product property as shown.

• No, she didn't factor correctly so the rest of her work is wrong. 

Tags

CCSS.HSA-REI.B.4B

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

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

• No Solutions

• 1 Solution

• 2 Solutions

• Infinite Solutions

Tags

CCSS.HSA-REI.B.4B

What is the discriminant of this equation?

• 64

• 52

• 9

• 0

Tags

CCSS.HSA-REI.B.4B

What is the discriminant and how many solutions would this quadratic have? 3x² + 3x + 4 = -3

• -75, No Solutions

• -75, 2 Solutions

• -39, No Solutions

• -39, 1 Solution

Tags

CCSS.HSA-REI.B.4B

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

• 76

• -7

• 9

• none of these

Tags

CCSS.HSA-REI.B.4B