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

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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

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Answer by tutorcecilia(2152)   (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
= [divide the second term by (2) and square the fraction; add the term to both sides of the equation]
ANSWER: or
.
2. SOLVE BY COMPLETING THE SQUARE...
X^2-4X+4=0
=0-4 [subtract/add the last term to both sides of the equation]
.
= -4
= -4 + (4/2)^2 [divide the second term by (2) and square the fraction; add the term to both sides of the equation]
.
= [simplify the left-hand side]
=
= 0
= 0 [expand the left-side]
= 0 [simplify the left-side if possible]
= 0

= [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

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