What constant do you need to add to each quadratic to complete the square?

Which of the following constants can be added to x^{2} + 2/3x to form a perfect square trinomial?

1/9

4/9

4 1/9

Guest Jan 22, 2019

#1**0 **

1 1/2 of -4 = -2 -2^2 = 4 Add 4

2 1/2 of -8 is -4 -4^2 =16 Add 16

3 Must have leading coefficient of 1 , so divide through by 3 to get

x^2 + 6x = 8

then 1/2 of 6 is 3 3^2 = 9 add 9

1/2 of 2/3 is 1/3 1/3^2 = 1/9 add 1/9

ElectricPavlov Jan 22, 2019