SOLUTION: y1=1/x+3, y2=1/x, and y1+y2=1/15 Find all the values of x

Algebra ->  Expressions-with-variables -> SOLUTION: y1=1/x+3, y2=1/x, and y1+y2=1/15 Find all the values of x      Log On


   

Question 98506: y1=1/x+3, y2=1/x, and y1+y2=1/15
Find all the values of x
Answer by malakumar_kos@yahoo.com(315) About Me  (Show Source):
You can put this solution on YOUR website!
y1=1/x+3, y2=1/x, and y1+y2=1/15
Find all the values of x

1/(x+3)+1/(x) = 1/15
x+x+3/x(x+3)= 1/15
15(2x+3)= x(x+3)
30x+45 = x^2+3x
x^2+3x-30x-45 = 0
x^2-27x-45 = 0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x = 27 +- sqrt (27^2+180)/2
simplify to get the value of x