Using Square Roots & Completing the Square - Practice

Front

Solve by Completing the Square: 2x² + 4x - 5 = 7. What are the solutions?

Back

-3.6 and 1.6

Front

Solve for x: 3x² = 12. What are the solutions?

Back

± 2

Front

Create a Perfect Square Trinomial: x² + 22x + ____. What is the missing number?

Back

121

Front

Complete the square for x² + 12x + ____. What is the missing number?

Back

36

Front

What do you do to the b value to correctly complete the square?

Back

Divide it by 2 and square the result.

Front

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

Back

(x + b/2a)² - (b² - 4ac)/4a.

Front

What is a perfect square trinomial?

Back

A trinomial that can be expressed as the square of a binomial, e.g., (x + a)² = x² + 2ax + a².

Front

How do you find the vertex of a parabola from the equation y = ax² + bx + c?

Back

Vertex (h, k) is found at h = -b/(2a), k = f(h).

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 does it mean to 'complete the square'?

Back

To transform a quadratic equation into a perfect square trinomial plus a constant.