Solving Quadratics (All methods)

Front

What is a quadratic equation?

Back

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

Front

What are the methods to solve quadratic equations?

Back

The methods to solve quadratic equations include factoring, using the quadratic formula, and completing the square.

Front

Factor the expression: 49x² - 100.

Back

(7x - 10)(7x + 10)

Front

Solve by factoring: x² - 9x + 20 = 0.

Back

x = 4 and x = 5

Front

What is a zero of a function?

Back

A zero of a function is a value of x that makes the function equal to zero.

Front

Identify a zero of the graph: 0, -1, 1.5, -3.

Back

-1

Front

Solve the equation: x² + 10x = -9 using any method.

Back

x = -1 and x = -9

Front

When factoring x² - 4x + 4 = 20, what goes in the blank? (x - __)² = 20.

Back

2

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

What does it mean to complete the square?

Back

Completing the square is a method used to solve quadratic equations by rewriting the equation in the form (x - p)² = q.