Complex Solutions with Quadratic Formula

Solve for x:

• x = {-3+2i, -3-2i}

• x = {7, 6}

• x = 2±i√3

• No solution

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

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.4B

If the discriminant is negative, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• 2 Complex (imaginary) Solutions

Tags

CCSS.HSA-REI.B.4B

• A
• B
• C
• D

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve for x: 

• x = {-4, -1}

• x = {-1, -4}

• x = {2+i, 2-i}

• x = {-2+i, -2-i}

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve by taking square roots:

k² - 6 = -50

• k = ±4i√11

• k = ±4√11

• k = ±2i√11

• k = ±2√11

Tags

CCSS.HSA-REI.B.4B

For the function above, is the discriminant positive, negative, or zero?

• Positive

• Negative

• Zero

• Not Sure

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

If the discriminant equals -72, the quadratic has how many solutions?

• 2 real

• 2 complex

• 1 real

• 1 complex

• 0 real

Tags

CCSS.HSA-REI.B.4B

Solve using the quadratic formula. f(x) = 2x²- 4x + 7

• (2±2i√10)/2

• (4±√40)/4

• (2±i√10)√/2

• (2±2i√40)/4

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7