SOLUTION: When completing the square on the equation cē + 11c = 12, the resulting equation is: a.)c+11/2=+- 13/2 b.)c+11/2= +-2 squareroot 3 c.)c+124/4=+-13/2 I choose b.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: When completing the square on the equation cē + 11c = 12, the resulting equation is: a.)c+11/2=+- 13/2 b.)c+11/2= +-2 squareroot 3 c.)c+124/4=+-13/2 I choose b.       Log On


   

Question 617573: When completing the square on the equation cē + 11c = 12, the resulting equation is:
a.)c+11/2=+- 13/2
b.)c+11/2= +-2 squareroot 3
c.)c+124/4=+-13/2
I choose b.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
When completing the square on the equation cē + 11c = 12, the resulting equation is:
a.)c+11/2=+- 13/2
b.)c+11/2= +-2 squareroot 3
c.)c+124/4=+-13/2
.
Complete the square:
c%5E2+%2B+11c+=+12
.
take 1/2 'b', square it and add to both sides:
c%5E2+%2B+11c+%2B+121%2F4+=+12+%2B+121%2F4
%28c+%2B+11%2F2%29%5E2+=+48%2F4+%2B+121%2F4
%28c+%2B+11%2F2%29%5E2+=+%2848%2B121%29%2F4
%28c+%2B+11%2F2%29%5E2+=+169%2F4
.
take the square root of both sides:
c + 11/2 = +-13/2