Question #f7ea2

1 Answer
Mar 26, 2017

Answer:

#x=-2+-sqrt29#

Explanation:

#50/x+2=2x+10#

First, you would exclude the solution #x=0# and then multiply all the terms by x:

#x!=0# and #50+2x=2x^2+10x#

Then get it in the standard form and solve it by the quadratic formula:

#2x^2+8x-50=0# or, dividing all the terms by 2:

#x^2+4x-25=0#

#x=-2+-sqrt(4+25)# (simplified formula #x=-b/2+-sqrt((b/2)^2-c)#)

#x=-2+-sqrt29#