What equatiom results from completing the square and then factoring? x^2-10x=46

Take half of the coefficient of the bx term and square on both sides:

x^2 - 10x + (-10/2)^2 = 46 + (-10/2)^2

x^2 - 10x + (-5)^2 = 46 + (-5)^2

x^2 - 10x + 25 = 46 + 25

x^2 - 10x + 25 = 71

Now factor x^2 - 10x + 25 which will give us (x - 5)^2

(x - 5)^2 = 71 is the answer.

A) 
BB (0.52)(0.52) = 0.2704 
BG (0.52)(0.48) = 0.2496 
GB 0.2496 
GG (0.48)(0.48) = 0.2304 

c) 
Number of girls born: 
x P(x) 
0 0.2704 
1 0.4992 
2 0.2304