Ch. 3 Flashcard

Front

Find the sum. Write in standard form. (5-2i) + (-7+8i)

Back

-2+6i

Front

Simplify: 5i + 5i

Back

10i

Front

Determine the values of a, b, and c for 4x² – 8x - 3 = 0

Back

a = 4, b = -8, c = -3

Front

What is the discriminant of this equation? -5x² - 6 = 0

Back

-120

Front

Determine the values of a, b, and c for the quadratic equation: 4x² – 8x = 3

Back

a = 4, b = -8, c = -3

Front

What is the standard form of a complex number?

Back

a + bi, where a is the real part and b is the imaginary part.

Front

What is the formula for the discriminant in a quadratic equation?

Back

D = b² - 4ac

Front

How do you find the roots of a quadratic equation?

Back

Use the quadratic formula: x = (-b ± √D) / (2a) where D is the discriminant.

Front

What does a negative discriminant indicate about the roots of a quadratic equation?

Back

The equation has no real roots; the roots are complex.

Front

What is the sum of the roots of a quadratic equation ax² + bx + c = 0?

Back

The sum is -b/a.