Solve by whatever Method
1. X^2 +8X = -16
X^2 +8X +16 = -16 +16
(X +4)^2 =0
X+4 =+/- SQRT 0
X=-4+/- 0
X=-4, X=4
2. 3x^2-2x-5=0
X=-b+/- sqrt (b)^2-4ac
2a a=3 ,b=-4,c=-5
X=-(-2)+/- Sqrt (-2)^2-4(3)(-5)
2(3)
X=2+/sqrt64 = 2+/-8
6
X= 2+8=10/6=1 2/3, x=2-8=-6/6=-1
Solution set is 1 2/3, -1
Solve by completing the square
3. X^2-x-1=0
X^2-x=1
X^2-1/2x=1/2
X^2-1/2x+ (1/2)^2=1/2 +(1/2)^2
X^2x+1/4=1/2+1/4
(X-1/4)^2=1/2
X-1/4=+/1/2
x=1/2+/-1/2
x=1, x=0
Just want to see if I am on the right path. Thanks Much!!!
#1, OL
#3, look at lines 5 and 6
1/2 + 1/4 = 3/4 not 1/2, take it from there
in #2 you are guilty of "bad form"
you have X= 2+8=10/6=1 2/3, x=2-8=-6/6=-1
using the = sign means that whatever you just wrote is equal to the next part.
I see x = 2+8 = 10/6..
2+8 is not equal to 10/6, you can't just drop numbers and then bring them back
that line should have read:
x=(2+8)/6 or x =(2-8)/6
x=10/6 or x=-6/1
x=5/3 or x = -1