Completing the square practice

Front

What is the first step in completing the square for the equation a^2 + 10a + 21 = 0?

Back

Subtract 21 from both sides.

Front

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

Back

Divide it by 2 and square the result.

Front

When completing the square for x^2 + 12x, what number fills in the blank: x^2 + 12x ______ = 8 + _______?

Back

36

Front

What do you need to add to both sides to complete the square for x^2 - 12x + ___ = 20 + ___?

Back

36

Front

Complete the square for x^2 + 6x = 5. What is the result?

Back

(x + 3)^2 = 14.

Front

What is the formula for completing the square for a quadratic equation ax^2 + bx + c?

Back

x = -b/2a ± √((b/2a)^2 - c/a).

Front

What is the vertex form of a quadratic equation?

Back

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

Front

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

Back

Take b, divide it by 2, and square the result.

Front

What is the significance of completing the square in solving quadratic equations?

Back

It allows us to rewrite the equation in vertex form, making it easier to solve.

Front

What is the completed square form of x^2 + 4x?

Back

(x + 2)^2 - 4.