SOLUTION: Write the expression: 9x2(2 as in square)-9x+1 in the form of a(x+b)2(as in square)+c. where a,b and c are real numbers

Algebra ->  Equations -> SOLUTION: Write the expression: 9x2(2 as in square)-9x+1 in the form of a(x+b)2(as in square)+c. where a,b and c are real numbers       Log On


   

Question 388999: Write the expression:
9x2(2 as in square)-9x+1 in the form of a(x+b)2(as in square)+c. where a,b and c are real numbers
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,         

 9x^2 - 9x + 1  Note using ^ (uppercase '6') to indicate squared term

Completing the square to put into desired format:

 9(x^2 - x) +1

 9[(x- 1/2)^2 -1/4] + 1

  9(x- 1/2)^2 - 9/4 + 1

  9(x- 1/2)^2 - 5/4  in the form a(x+b) + c where a = 9, b = -1/2 and c = -5/4