Non-linear equations (one variable)

Find the value of c that completes the square, then write the expression as a square binomial.
x2 + 5x + c

•  $\left(x+\frac{5}{2}\right)^2$  

•  $\left(x+5\right)^2$  

•  $\left(x+25\right)^2$  

•  $\left(x+10\right)^2$  

Find the value of c to make it a perfect square trinomial.

x²+5x+c

• 10

• 25

• 25/2

• 25/4

Find the value of "c" that completes the square.

 $k^2-18k+c$  

Solve by completing the square:

x² -4x = 5

• 11 and -7

• 1 and 3

• 1.73 and -1.73

• 5 and -1

• 9

• 3

• 6

• 12

Determine the solution(s) to the quadratic.

-3(x+7)² + 3 = 0

• x = 6, x = 8

• x = -6, x = -8

• x = -6

• x = -8

• no solution

What is the constant that should be added to the expression to complete the square: $x^2+16x$  

•  $64$  

•  $32$  

•  $16$  

•  $8$  

Solve using square roots.

• ± 1/4
• ± 9/36
• ± 1/2
• No real solution

 $3x^2+12x\ -18\ =0$  What would be the first step solving the given equation by completing the square? Select all that apply.

• Add 18 to both sides

• Add the square of half of 12 to both sides

• Divide through by 3

• Factor out 3 to have coefficient of squared term as 1