English Deutsch Français Italiano Español Português 繁體中文 Bahasa Indonesia Tiếng Việt ภาษาไทย
All categories

What do you think?

2006-10-10 15:36:21 · 3 answers · asked by smerf_catcher 1 in Education & Reference Other - Education

^ means to the power of...
This is possible without decimals.
Remember, you want x+y not x=? y=?

2006-10-10 15:46:00 · update #1

Answered!
^ means to the power of...
No decimals are needed to solve this problem.

2006-10-10 16:16:42 · update #2

3 answers

(x+y)^2 = x^2 + 2xy + y^2
(x+y)^2 = (x^2) + (y^2) + 2(x)(y)
(x+y)^2 = 15 + 2(5)
(x+y)^2 = 25
Therefore, x+y = 5 or -5.
That's all you need to know to answer your problem.

However, I will go ahead and solve completely for x and y.
y = 5/x
x^2 + y^2 = 15
x^2 + 25/x^2 = 15
x^4 + 25 = 15x^2
x^4 - 15x^2 + 25 = 0
x^2 = [15 +/- SqRt(225 - 4*1*25)]/2
x^2 = [15 +/- SqRt(125)]/2
x^2 = 13.09 or 1.91 (approximate)
x = 3.62 or 1.38 (approximate)
y = 1.38 or 3.62 (approximate)

Check work:
x^2 + y^2 = 13.10 + 1.90 = 15. Check.
xy = (3.62)(1.38) = 5. Check.

And this only solves for if x+y=5. There may be other solutions for if x+y=-5.

2006-10-10 15:45:13 · answer #1 · answered by PJ 3 · 1 0

Is there an real answer there? Unless you are using decimals I don't see it being possible. Sorry.

2006-10-10 22:44:47 · answer #2 · answered by S B 3 · 0 0

I could attempt the equations but I do not know what ^ means!

2006-10-10 22:40:14 · answer #3 · answered by motohype 3 · 0 0

fedest.com, questions and answers