SOLUTION: 1.FIND THE CONSTANT TERM THAT SHOULD BE ADDED TO MAKE THE FOLLOWING EXPRESSION A PERFECT SQUARE TRINOMIAL.... X^2+5X 2. SOLVE BY COMPLETING THE SQUARE... X^2-4X+4=0 3. EVAL

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: 1.FIND THE CONSTANT TERM THAT SHOULD BE ADDED TO MAKE THE FOLLOWING EXPRESSION A PERFECT SQUARE TRINOMIAL.... X^2+5X 2. SOLVE BY COMPLETING THE SQUARE... X^2-4X+4=0 3. EVAL      Log On


   

Question 86756: 1.FIND THE CONSTANT TERM THAT SHOULD BE ADDED TO MAKE THE FOLLOWING EXPRESSION A PERFECT SQUARE TRINOMIAL....
X^2+5X
2. SOLVE BY COMPLETING THE SQUARE...
X^2-4X+4=0
3. EVALUATE IF POSSIBLE...
-3 ROOT OF 64

THANKS IN ADVCANCE FOR ALL OF YOUR HELP!!!
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
1.FIND THE CONSTANT TERM THAT SHOULD BE ADDED TO MAKE THE FOLLOWING EXPRESSION A PERFECT SQUARE TRINOMIAL....
X^2+5X
%28x%5E2%2B5x%2B%285%2F2%29%5E2%29=%28%285%2F2%29%5E2%29 [divide the second term by (2) and square the fraction; add the term to both sides of the equation]
ANSWER: %28%285%2F2%29%5E2%29 or %2825%2F4%29
.
2. SOLVE BY COMPLETING THE SQUARE...
X^2-4X+4=0
%28x%5E2-4x%2B4-4%29=0-4 [subtract/add the last term to both sides of the equation]
.
%28x%5E2-4x%29= -4
%28x%5E2-4x%2B%284%2F2%29%5E2%29= -4 + (4/2)^2 [divide the second term by (2) and square the fraction; add the term to both sides of the equation]
.
%28x%5E2-4x%2B%284%2F2%29%5E2%29= %28-4%2B%282%29%5E2%29%29 [simplify the left-hand side]
%28x%5E2-4x%2B%284%2F2%29%5E2%29= %280%29
%28x%5E2-4x%2B%284%2F2%29%5E2%29= 0
%28x-%284%2F2%29%29%28x-%284%2F2%29%29= 0 [expand the left-side]
%28x-2%29%29%28x-2%29%29= 0 [simplify the left-side if possible]
%28x-2%29%5E2%29= 0

%28sqrt%28x-2%29%5E2%29= %28sqrt%280%29%29 [find the square root of both sides and simplify]
.
x-2= 0 [solve for the x-term]
x-2+2= +2
x= 2
.

3. EVALUATE IF POSSIBLE...
-3 ROOT OF 64
= -4 [because (-4)(-4)(-4)=-64