Question 97658
Solve a Quadratic Equation by completing the square. 

I was not sure what would be an acceptable answer for your teacher so I worked it all the way out.  This problem is a Quadratic Equation. Here is your solution. 


16x^2-16x-5=0

(16x^2-16-5)/16=0

x^2-1x-5/16=0

x^2-1x-5/16+5/16=0+5/16

x^2-1x=5/16

( -1/2)^2=1/4

x^2-1x+1/4=5/16+1/4(4/4)

(x-1/2)^2=5/16+4/16

(x-1/2)^2=9/16

Sqrt(x-1/2)^2 )= Sqrt(9/16)

x-1/2=3/4

x=1/2±3/4(If this is not your final solution according to your teacher, finished solution continues below)

x-1/2+1/2=3/4+1/2(2/2)

x=3/4+2/4

x=5/4

x-1/2=-3/4   

x-1/2+1/2=1/2(2/2)-3/4

x=2/4-3/4  

x=-1/4

Good Luck. :)