Solving Equations with Imaginary Solutions

Solve using the square roots method.

Write all answers in simplest form:

2x² + 9 = 1

• x = ±2i

• x = ±2

Tags

CCSS.HSA-REI.B.4B

Reorder the following steps for solving quadratics by square roots.

• Take the SQUARE ROOT of both sides

• REWRITE the equation as x² = n

• SIMPLIFY the radical. Place "±" to indicate both answers.

Tags

CCSS.HSA-REI.B.4B

Solve.
  x² = √-100

• x = 10i

• x = ± 10i

• x = ±10

• x = √10

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve    x² = √-25

• x = -5

• x = ± 5i

• x = √5

• x = ± 5

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve    x² = √-81

• x = -9

• x = ± 9i

• x = √9

• x = ± 9

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve.  
x² +12 = 5

• x = ± 49

• x = ± i√7

• x = ± √7

• x = ± 3.5i

Tags

CCSS.HSA-REI.B.4B

• A
• B
• C
• D

Tags

CCSS.HSA-REI.B.4B

• A
• B
• C
• D

Tags

CCSS.HSA-REI.B.4B

• A
• B
• C
• D

Tags

CCSS.HSA-REI.B.4B

The discriminant is

• aX²  + bX  +  c

• b - 4ac

• b² - 4ac

• b² + 4ac

Tags

CCSS.HSA-REI.B.4B