D Block 05.03.2023: Solve Quadratics by Completing the Square

Front

What is the process of completing the square in a quadratic equation?

Back

Completing the square involves rewriting a quadratic equation in the form of (x + p)^2 = q, allowing for easier solving of the equation.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

How do you find the value to complete the square for the expression x^2 + 6x?

Back

Take half of the coefficient of x (which is 6), square it (3^2 = 9), and add it to the expression: x^2 + 6x + 9.

Front

Back

Front

Complete the square for the expression x^2 + 6x + ____. What is the missing value?

Back

The missing value is 9, so the completed square is x^2 + 6x + 9.

Front

Back

Front

What is the completed square form of the equation x^2 + 6x = 5?

Back

The completed square form is (x + 3)^2 = 14.

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Back

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Front

What does it mean to find the roots of a quadratic equation?

Back

Finding the roots means determining the values of x for which the quadratic equation equals zero.