Solving Quadratics with Real and Imaginary Solutions

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

Solve x² - 5x + 10 = 0

• (5 - i√15)/2  ,  (5 + i√15)/2

• (5 - √15)/2  ,  (5 + √15)/2

• (5 - i√65)/2  ,  (5 + i√65)/2

• (5 - √65)/2  ,  (5 + √65)/2

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

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

Find the imaginary solutions of the quadratic equation x^2 + 4 = 0.

• x = ±2

• x = ±2i

• x = ±4

• x = ±4i

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Find the roots of the equation.

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

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

Solve the quadratic equation 2x^2 + 8 = 0 by using square roots with imaginary numbers.

• x = ±3i

• x = ±2i

• x = ±4i

• x = ±5i

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

• A
• B
• C
• D

Tags

CCSS.8.EE.A.2

Solve for x: 3x² - 6x + 6 = 0

• x = 1± i

• x = 3, -6

• x = 4.8, 2.7

• Undefined

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Determine the solutions of the equation 4x^2 + 16 = 0 using square roots with imaginary numbers.

• x = ±2i

• x = ±4i

• x = ±8i

• x = ±6i

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7