Solving Quadratic Equations

Front

Factor and Solve: 6x² + 17x + 12 = 0

Back

x = -4/3, x = -3/2

Front

What are the factors AND solutions of x² + 2x – 3 = 0?

Back

(x - 1)(x + 3); x=1, x=-3

Front

What is another word for zeros in a quadratic equation?

Back

roots

Front

Solve the equation: 5x² - 35x + 60 = 0

Back

x = 3, 4

Front

Solve the equation by completing the square: x² + 6x - 4 = 36

Back

x = 4, -10

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What does the discriminant tell us about the roots of a quadratic equation?

Back

If b² - 4ac > 0, two real roots; = 0, one real root; < 0, no real roots.

Front

How do you find the vertex of a quadratic function?

Back

Vertex (h, k) where h = -b/(2a) and k = f(h).

Front

What is the axis of symmetry in a quadratic equation?

Back

x = -b/(2a)