Using the Quadratic Formula

Front

What is the Quadratic Formula?

Back

The Quadratic Formula is used to find the solutions of a quadratic equation in the form ax² + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

What are the values of A, B, and C in the equation 5x² + x - 18 = -9x + 3x²?

Back

A = 2, B = 10, C = -18.

Front

How do you identify a quadratic equation?

Back

A quadratic equation is an equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does the discriminant (b² - 4ac) tell us?

Back

The discriminant determines the nature of the roots of a quadratic equation: if it's positive, there are two distinct real roots; if zero, there is one real root; if negative, there are no real roots.

Front

Solve using the Quadratic Formula: 9x² = 4 + 7x

Back

x = 1 and x = - 5/9.

Front

What is factoring in relation to quadratic equations?

Back

Factoring is the process of expressing a quadratic equation as a product of its linear factors, which can then be set to zero to find the roots.

Front

Solve by factoring: x² - 9x + 20 = 0

Back

x = 4 and x = 5.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

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

Back

x = -1 and x = -3.

Front

What is the vertex of a parabola represented by a quadratic equation?

Back

The vertex is the highest or lowest point of the parabola, found at the point (-b/2a, f(-b/2a)).