SOLUTION: If 100-2xy-y^2=x^2, which of the following must be true? a. x-y=10 b. x^2+y^2=100 c. (x+y)(x-y)=100 d. (x+y)^2=100 e. (x-y)^2=100 please explain how to solve this for me, it

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: If 100-2xy-y^2=x^2, which of the following must be true? a. x-y=10 b. x^2+y^2=100 c. (x+y)(x-y)=100 d. (x+y)^2=100 e. (x-y)^2=100 please explain how to solve this for me, it      Log On


   



Question 393556: If 100-2xy-y^2=x^2, which of the following must be true?
a. x-y=10
b. x^2+y^2=100
c. (x+y)(x-y)=100
d. (x+y)^2=100
e. (x-y)^2=100
please explain how to solve this for me, its been awhile.

Found 2 solutions by richard1234, mananth:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The equation is equivalent to

100+=+x%5E2+%2B+2xy+%2B+y%5E2

Since x%5E2+%2B+2xy+%2B+y%5E2 factors to %28x%2By%29%5E2 we have

100+=+%28x%2By%29%5E2, so choice D is correct.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
If 100-2xy-y^2=x^2, which of the following must be true?
a. x-y=10
b. x^2+y^2=100
c. (x+y)(x-y)=100
d. (x+y)^2=100
e. (x-y)^2=100
please explain how to solve this for me, its been awhile.
...
100-2xy-y^2=x^2
bring all the variables to the right side of the equation
100 = x^2+2xy+y^2
...
use the formula
a%5E2%2B2ab%2Bb%5E2=%28a%2Bb%29%5E2
a=x,b=y
100=(x+y)^2
OPTION D
...
m.ananth@hotmail.ca