Solving Quadratics by Completing the Square Practice June 21st

Front

What is the first step to solving the equation a² + 10a + 21 = 0 by completing the square?

Back

Subtract 21 from both sides.

Front

What do you do to the b value (10) to correctly complete the square?

Back

Divide it by 2 and square the result.

Front

Write the quadratic expression x² + 4x + 10 in completed square form.

Back

(x + 2)² + 6

Front

Solve by completing the square: x² + 12x = 5.

Back

x = -6 ± √41

Front

Solve the quadratic equation x² - 10x - 5 = 0 by completing the square.

Back

x = 5 ± √30

Front

What is the completed square form of the expression x² + 6x + 9?

Back

(x + 3)²

Front

How do you find the vertex of a parabola given in standard form y = ax² + bx + c?

Back

Use the formula x = -b/(2a) to find the x-coordinate of the vertex.

Front

What is the relationship between the roots of a quadratic equation and its graph?

Back

The roots are the x-intercepts of the graph of the quadratic function.

Front

What is the formula for completing the square for a quadratic equation ax² + bx + c?

Back

Rewrite as a(x + b/2a)² - (b² - 4ac)/4a.

Front

What does it mean to complete the square?

Back

It means rewriting a quadratic expression in the form (x - p)² + q.