Question

Complete the square: x^2+16x+68. Please show steps...

Answer 1

x^2+16x+68
Half the b(64) number, square it.
x^2+16x+64+4
(x+8)^2+4

Answer 2

Why is b 64?

Answer 3

Ohhh i need to take half and square that, got it.

Answer 4

If you half b, which is 16, and square it, you get 64.
This is how you get a square complete. So it can be written as (a+b)^2

Answer 5

Thanks :)

Answer 6

x^2+16x+64= -68+64 ===> (x+8)^2 = -4 ===> no solution in R but there two solution in complex numers , that is x+8 = 2i ==> x=-8-2i or x+8 = -2i ==> x=-8-2i