SOLUTION: please I need help solving this word problem. - determine what number must be added to the binomial X^2-40x to make it a perfect square. solution (x^2-40x)(x^2+40x)=x^4+40x^3-4

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: please I need help solving this word problem. - determine what number must be added to the binomial X^2-40x to make it a perfect square. solution (x^2-40x)(x^2+40x)=x^4+40x^3-4      Log On


   

Question 865802: please I need help solving this word problem.
- determine what number must be added to the binomial X^2-40x to make it a perfect square.
solution
(x^2-40x)(x^2+40x)=x^4+40x^3-40x^3+1600x^2
=x^4+1600x^2
=x^2(x^2-1600)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The method and complete explanation is in this lesson:

The meaning of Completing the Square