Quadratics with Imaginary Solutions

Front

Imaginary Unit

Back

i = √(-1)

Tags

CCSS.HSN.CN.A.1

Front

Imaginary Number

Back

A number in the form a + bi, where b ≠ 0

Tags

CCSS.HSN.CN.A.1

Front

Quadratic Equation

Back

ax² + bx + c = 0

Front

Discriminant

Back

b² - 4ac

Tags

CCSS.HSA-REI.B.4B

Front

Discriminant < 0

Back

Imaginary solutions

Tags

CCSS.HSA-REI.B.4B

Front

Quadratic Formula

Back

x = (-b ± √(b² - 4ac)) / (2a)

Tags

CCSS.HSA-REI.B.4B

Front

Step 1: Identify a, b, c

Back

Coefficients from ax² + bx + c = 0

Front

Step 2: Calculate Discriminant

Back

b² - 4ac

Tags

CCSS.HSA-REI.B.4B

Front

Step 3: Check Discriminant

Back

If < 0, solutions are imaginary

Tags

CCSS.HSA-REI.B.4B

Front

Step 4: Apply Quadratic Formula

Back

Use x = (-b ± √(b² - 4ac)) / (2a)

Tags

CCSS.HSA-REI.B.4B