9.3 Quadratic Formula

Front

Identify a, b, and c in: x²−6x+14

Back

a = 1, b = -6, c = 14

Front

Solve using the quadratic formula: 4x² + 4x + 1 = 0

Back

x = -½

Front

Solve 2x² + 7x - 15 = 0

Back

x = -5 or x = 1.5

Front

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

Back

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

Front

Use the quadratic formula to find the solutions for y = -x² - 5x + 12

Back

x = 2 or x = -6

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What does the discriminant (b² - 4ac) indicate?

Back

It determines the nature of the roots of the quadratic equation.

Front

If the discriminant is positive, what can be said about the roots?

Back

There are two distinct real roots.

Front

If the discriminant is zero, what can be said about the roots?

Back

There is exactly one real root (a repeated root).

Front

If the discriminant is negative, what can be said about the roots?

Back

There are no real roots (the roots are complex).