Ch 4: Lessons 4.5-4.8 GOOD

Front

What does the discriminant tell us?

Back

The number and type of solutions of a quadratic equation.

Front

Simplify (-6 - 2i)²

Back

32 + 24i

Front

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

Back

No Real Solution

Front

Simplify: (10 + 15i) - (48 - 30i)

Back

-38 + 45i

Front

Solve by completing the square: x² + 12x = 5

Back

X = -6 + √41 or -6 - √41

Front

What is the formula for the discriminant?

Back

D = b² - 4ac, where a, b, and c are coefficients of the quadratic equation ax² + bx + c = 0.

Front

What does a positive discriminant indicate?

Back

Two distinct real solutions.

Front

What does a zero discriminant indicate?

Back

One real solution (a repeated root).

Front

What does a negative discriminant indicate?

Back

No real solutions (two complex solutions).

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k, where (h, k) is the vertex.