10x-1y^-1/8x^2+y-6

Solution for 10x-1y^-1/8x^2+y-6 equation:

x in (-oo:+oo)

10*x-(x^2*((1*y^-1)/8))+y-6 = 0

10*x-(x^2*((y^-1)/8))+y-6 = 0

10*x-1/8*x^2*y^-1+y-6 = 0

DELTA = 10^2-(-1/8*4*y^-1*(y-6))

DELTA = 1/2*y^-1*(y-6)+100

1/2*y^-1*(y-6)+100 = 0

1/2*y^-1*(y-6)+100 = 0

201/2-3*y^-1 = 0

201/2-3*y^-1 = 0

-3*y^-1 = -201/2 // : -3

y^-1 = 67/2

-1 < 0

1/(y^1) = 67/2 // * y^1

1 = 67/2*y^1 // : 67/2

2/67 = y^1

y = 2/67

DELTA = 0  <=>  t_1 = 2/67

x = -10/(-1/8*2*y^-1) i y = 2/67

x = 40*y i y = 2/67

( x = ((1/2*y^-1*(y-6)+100)^(1/2)-10)/(-1/8*2*y^-1) or x = (-(1/2*y^-1*(y-6)+100)^(1/2)-10)/(-1/8*2*y^-1) ) i y > 2/67

( x = -4*y*((1/2*y^-1*(y-6)+100)^(1/2)-10) or x = 4*y*((1/2*y^-1*(y-6)+100)^(1/2)+10) ) i y > 2/67

y-2/67 > 0

y-2/67 > 0 // + 2/67

y > 2/67

x in { 40*y, -4*y*((1/2*y^-1*(y-6)+100)^(1/2)-10), 4*y*((1/2*y^-1*(y-6)+100)^(1/2)+10) }