completeing the square?

Question

x^2-6x=16


2x^2-3x+1=0


x^2-x-1=0

ummm someone please!!!

Answer 1

1. x^2-6x + 9=16 +9
(x-3)^2 = 25
x-3 = sqrt(25)
x-3 =+5 or -5
x=8 , -2

2. 2x^2-3x+1=0
Dividing by 2
x^2-(3/2)x+(1/2)=0
x^2-(3/2)x =-1/2
(x-(3/4))^2 = -1/2 +9/16
(x-(3/4))^2 = 1/16
(x-(3/4)) = +1/4 or -1/4
x=1/2 , 1

3. x^2-x-1=0
x^2-x =1
(x- (1/4)) ^2 = 1 +(1/4)
(x- (1/4)) = sqrt(5/4)
(x- (1/4)) =+ 1.12 or -1.12
x= 1.37 or x= -0.87

Answer 2

Question 1
x² - 6x - 16 = 0
(x² - 6x + 9) - 9 - 16 = 0
(x - 3)² = 25
(x - 3) = ± 5
x = 8 , x = - 2

Question 2
x² - (3/2)(x) + 1/2 = 0
( x² - (3/2)x + 9/16 ) = 9/16 - 1/2
(x - 3/4) ² = 1/16
(x - 3/4) = ± 1/4
x = 3/4 ± 1/4
x = 1 , x = 1/2

Question 3
x ² - x + 1/4 = 5/4
(x - 1/2) ² = 5/4
x - 1/2 = ±√5/ 2
x = 1/2 ± √5/2

Answer 3

ONE::

x^2 - 6x = 16
x^2 - 6x + 9 = 16 + 9
(x- 3) ^ 2 = 25
x - 3 = +/- 5
ans.
x = 3+ 5 = 8
x = 3 - 5 = -2


TWO::

2x^2 - 3x + 1 = 0
2x^2 - 3x = -1
x^2 - 3x/2 = -1/2
x^2 - 3x/2 + 9/16 = -1/2 + 9/16
(x - 3/4) ^ 2 = 1/16
x - 3/4 = +/- 1/4
ans:
x = 3/4 + 1/4 = 1
x = 3/4 - 1/4 = 1/2


THREE::

x^2-x-1=0
x^2 - x = 1
x^2 - x + 1/4 = 1 + 1/4
(x - 1/4 )^ 2 = 5/4
x - 1/4 = +/- 1.118
ans:
x = 1/4 + 1.118 = 1.368
x = 1/4 - 1.118 = -0.868