Quadratic Formula

Front

What is the Quadratic Formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What does the 'a' represent in a quadratic equation?

Back

'a' is the coefficient of x² in the equation ax² + bx + c.

Front

What does the 'b' represent in a quadratic equation?

Back

'b' is the coefficient of x in the equation ax² + bx + c.

Front

What does the 'c' represent in a quadratic equation?

Back

'c' is the constant term in the equation ax² + bx + c.

Front

What is the first step in solving a quadratic equation?

Back

Make it equal to 0 by rearranging the equation.

Front

What is the discriminant in the quadratic formula?

Back

The discriminant is b² - 4ac.

Front

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

Back

If the discriminant is positive, there are two real roots; if zero, one real root; if negative, no real roots.

Front

Solve using the Quadratic Formula: x² + 4x + 3 = 0

Back

x = -1 and x = -3.

Front

What is the factored form of x² + 5x + 6?

Back

(x + 2)(x + 3) = 0.

Front

How do you find the vertex of a parabola given by a quadratic equation?

Back

The vertex can be found using the formula (-b/(2a), f(-b/(2a))).