Question

to complete the square equation x²+10x, we need to add 5 to both sides. (True or false) to complete the square in the equation x²+20x, we need to add 100 to both sides. (T/F)to complete the square in the equation x²+16x, we need to add 8 to both sides. (T/F)to complete the square in the equation x²+8x, we need to add 16 to both sides. (T/F)

Answer 1

To complete the square of a quadratic, we would have to add

`((b)/(2a))^2\text{ to both sides}`

1. a =1 , b = 10

we would add 25 to both sides

2.a =1 , b = 20

we would add 100 to both sides

3.a =1 , b = 16

we would add 64 to both sides

4.a =1 , b = 8

we would add 16 to both sides