ALGEBRA 1
posted by DANIELLE .
CAN SOMEONE PLEASE CHECK TO SEE IF I HAVE DONE THESE CORRECTLY. Thanks for your help.
Solve by completing the square
1. X^26x=16
X^26x + (6/2) ^2=16+ (6/2) ^2
X^26x+36/4= 16+36/4
(X6/2)=100/4
X6/2= +or  10/2
X=6 + or  10/2
X=4, X=8
2. 2x^23x+1
2x^23x=1
X^23/2x=1/2
X^23/2x +(3/2)^2 =1/2+(3/2)^2
X^23/2+9/4 =1/2+9/4
X+3/2=7/4
X+3/2=+ or  sqrt7/4
X=3 + or – sqrt 7/2
X= 3+sqrt7/2 , x=3sqrt7/2
Put the values in the letters and see if you get the right answer
For example
Put the value for your first answer as
4 squared  6(8) = 16
See if it works in this way
No1 in line 4
why don't your reduce 6/2 to 3
line 4 would read (x3)^2 = 25
then x3 = +/ √25
x3 = +/ 5
then x=8 or x = 2
no 2 you have to take 1/2 of 3/2 which would be 3/4.
then 3/4 squared is 9/16
so line 4 should read
x^2  (3/2)x + 9/16 = 1/2 + 9/16
.
.
.
(x3/4)^2 = 1/16
..
x=1 or x=1/2
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