Solve these questions.

1). Solve the equation 2 12 + 11 = 0 using the algebraic method.

2). Sara must derive the pq formula from the expression x2+px+q=0 using square completion. She takes the following steps:

2 + + = 0

Subtract with q

2 + =

Now we add the square (2)2 .

2 + + (2)2 = (2)2

Here she gets stuck, what will she do next?

a. Complete the square

b. Take the root out

c. Factor the left term using the conjugate rule

d. Factor the left term using the squaring rule Justify your answer.

3). A circle with radius a is tangent to the positive coordinate axes. It is also tangent to a smaller circle whose center is at the origin. See figure.

Show that the radius of the smaller circle is (2 1)

units of length.

\f