Completing the Square
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Which of the following expressions are perfect-square trinomials? Check all of the boxes that apply
4x2 +12x + 9 x2 + 20x + 100
What method would you choose to solve the equation 2x2 - 7 = 9? Explain why you chose this method.
I would divide everything by two. Then I would add 7/2 from both sides which would cancel out the -7/2. That would give me 8 where the 9/2 is. Then I would square root both sides and get 2 square roots of 2. That would be using completing the square.
Given (x - 7)2 = 36, select the values of x.
x = 13 x = 1
Given (x - 1)2 = 50, select the values of x.
x= 1+5√2 x=1-5√2
Complete the expression so it forms a perfect-square trinomial.
x² - 5x + (25/4) x² + (14)x+49
