Solve the equation by the method of your 1x 1x 4 15Soluti

Solve the equation by the method of your 1/x + 1/x + 4 = 1/5

Solution

given 1/x + 1/(x+4) = 1/5

        [ (x+4) + x ] / x(x+4) = 1/5

      5(2x+4) = x(x+4)

    10x +20 =x^2 +4x

x^2 -6x -20=0

the roots of this are -b +sqrt(b^2 -4ac) /2a and -b -sqrt(b^2 -4ac) /2a

a=1 , b=-6 c =-20

the roots of this are 6 +sqrt(36 +80) /2 and 6 -sqrt(36 +80) /2

                               6 +sqrt(116)/2 and 6 - sqrt(116)/2

                             6 +10.77 / 2 and 6 -10.77/2

                             8.385     and -2.385