Solving Quadratic Equations {All Methods}

What is this formula?

• This is the speed of light formula.
• This is the quadratic formula.
• This is the zero product property.
• This is scary.

Tags

CCSS.HSA.REI.B.4

Determine the values of

a, b, and c for

the quadratic equation:

4x² – 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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

The discriminant is

• ax² + bx + c

• b - 4ac

• b² - 4ac

• b² + 4ac

Tags

CCSS.HSA.REI.B.4

If the discriminant equals 0, then the quadratic has:

• 1 Rational Solution

• 2 Rational Solutions

• No solutions

• 2 Complex Solutions

Tags

CCSS.HSA.REI.B.4

If the discriminant is positive but NOT a perfect square, then the quadratic has:

• 1 Rational Solution

• 2 Irrational Solutions

• 2 Rational Solutions

• 2 Complex Solutions

Tags

CCSS.HSA.REI.B.4

If the discriminant is negative, then the quadratic has:

• 1 Rational Solution

• 2 Rational Solutions

• 2 Irrational Solutions

• 2 Complex Solutions

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

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

• 76

• -7

• 9

• none of these

Tags

CCSS.HSA.REI.B.4

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

• 76

• 29

• 68

• none of these

Tags

CCSS.HSA.REI.B.4

Determine the value of the discriminant and name the nature of the roots for the following:
x² + 7x + 13
Remember:  b² - 4ac

• 400, 2 real root 
• 0, 1 real root with a multiplicity of 2
• -400, 2 imaginary roots
• -3, 2 imaginary roots

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.C.9

What is the discriminant and how many solutions would this quadratic have?

x² - 6x + 9 = 0

• 0, No Solutions

• 0, 1 Solution

• 72, 2 Solutions

• -72, No Solution

Tags

CCSS.HSA.REI.B.4