SOLUTION: Fill in the blank with the term that would complete the square. a)X^2-2/3x+ b)X^2-px+

Algebra ->  Square-cubic-other-roots -> SOLUTION: Fill in the blank with the term that would complete the square. a)X^2-2/3x+ b)X^2-px+       Log On


   

Question 1008180: Fill in the blank with the term that would complete the square.

a)X^2-2/3x+
b)X^2-px+
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

recall: %28a-b%29%5E2=a%5E2-2ab%2Bb%5E2
a)
x%5E2-%282%2F3%29x%2Bb%5E2...............2ab=2%2F3=>since a=1, 2b=2%2F3=>b=2%2F%283%2A2%29=1%2F3
x%5E2-%282%2F3%29x%2B%281%2F3%29%5E2
%28x-1%2F3%29%5E2
b)
x%5E2-px%2Bb%5E2.....2ab=p=>since a=1, 2b=p=>b=p%2F2
x%5E2-px%2B%28p%2F2%29%5E2
%28x-p%2F2%29%5E2