Quadratics with Complex Number Answers

Answer explanation

Recall that a complex number is a number in the form a+bi, where "a" is the real part, and "b" is the imaginary part.

The real part is 8.4.

Simplify the radical expression as an imaginary number.

Tags

CCSS.HSN.CN.A.1

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 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

Solve for x: x² - 5x + 8 = 0

• x = (-5±i√7)/2

• x = (5±i√7)/2

• x = (8±i√7)/2

• x = (5±√57)/2

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

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

x² + 36 = 0

• x = ±6

• x = 6i

• x = -6

• x = ±6i

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve 2x² – 6x + 5 = 0

• x=3/2±i/2

• x=3 ± i/2

• x=3/2 ± i

• x=3±i

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve x²+64 = 0

• 8

• -8, 8

• 8i, -8i

• -8

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve -2x² + 4x = 9

• (2 - i√14)/2   ,   (2 + i√14)/2

• (2 - i√-56)/2   ,   (2 + i√-56)/2

• (2 - i√-14)/2   ,   (2 + i√-14)/2

• (2 - √14)/2   ,   (2 + √14)/2

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

• A
• B
• C
• D

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7