Quadratic Formula with Complex Solutions & Discriminate

Solve Using the Quadratic Formula
 x² + 4x - 40 = -8

• -10 & -4
• -4 & 10
• -8 & 4
• 8 & -4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

What should you do first in solving this equation?

x² + 6x - 13 = 3

• Factor

• Write down: a = 1, b = 6, c = -13

• Subtract 3 from both sides.

• Add 3 to both sides.

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Solve using the quadratic formula.
2x² - 9x - 35 = 0

• x = 7/2, x = -6
• x = -5/2, x =5
• x = -3/7, x =6
• x = -5/2, x = 7

Tags

CCSS.HSA-REI.B.4B

If the graph of a quadratic does not touch the x-axis at any point, then it has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• No Real Solution

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

What is the discriminate of f(x) = 3x² - 5x + 8
and how many solutions does the function have?

• discriminate = -71 and two imaginary solutions
• discriminate = -121 and has two imaginary solutions
• the discriminate = - 71 and has two real solutions
• the disctiminate = -121 and has two real solutions

Will the following equation have an IMAGINARY answer
11x²-9x+3=0

• yes
• no

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.C.7

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

Tags

CCSS.HSA.APR.B.3

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

• 76

• 29

• 68

• none of these

Tags

CCSS.HSA.REI.B.4

If the discriminant is positive and a perfect square, then the solution will be

• one real solution

• two real rational solutions

• two real irrational solutions

• one imaginary solution

Tags

CCSS.HSA.REI.B.4

Determine the value of the discriminant and name the nature of the solution for the following:

x² + 7x + 13

Remember: b² - 4ac

• 400 -:2 real, rational

• 0 :1 real, rational

• √(-400) -:2 non-real complex - imaginary

• -3 : 2 non-real , imaginary

Tags

CCSS.HSA.REI.B.4