(1/4x)-(3/x)=-9/8

Solution for (1/4x)-(3/x)=-9/8 equation:

D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(1/4)*x-(3/x) = -9/8 // + -9/8

(1/4)*x-(3/x)-(-9/8) = 0

(1/4)*x-3*x^-1+9/8 = 0

1/4*x^1-3*x^-1+9/8*x^0 = 0

(1/4*x^2+9/8*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(1/4*x^2+9/8*x^1-3*x^0) = 0

x^1

(1/4)*x^2+(9/8)*x-3 = 0

(1/4)*x^2+(9/8)*x-3 = 0

DELTA = (9/8)^2-(-3*4*(1/4))

DELTA = 273/64

DELTA > 0

x = ((273/64)^(1/2)-(9/8))/(2*(1/4)) or x = (-(9/8)-(273/64)^(1/2))/(2*(1/4))

x = 2*((273/64)^(1/2)-9/8) or x = -2*((273/64)^(1/2)+9/8)

x in { -2*((273/64)^(1/2)+9/8), 2*((273/64)^(1/2)-9/8)} 

x in { -2*((273/64)^(1/2)+9/8), 2*((273/64)^(1/2)-9/8) }