1/6x1/12(x-1)=1/2

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Solution for 1/6x1/12(x-1)=1/2 equation: 


x in (-oo:+oo)

(((1/6)*x^1)/12)*(x-1) = 1/2 // - 1/2

(((1/6)*x^1)/12)*(x-1)-(1/2) = 0

(((1/6)*x)/12)*(x-1)-1/2 = 0

1/72*x*(x-1)-1/2 = 0

(1/72*2*x*(x-1))/2-1/2 = 0

1/72*2*x*(x-1)-1 = 0

1/36*x^2-1/36*x-1 = 0

1/36*x^2-1/36*x-1 = 0

1/36*x^2-1/36*x-1 = 0

DELTA = (-1/36)^2-(-1*1/36*4)

DELTA = 145/1296

DELTA > 0

x = ((145/1296)^(1/2)+1/36)/(1/36*2) or x = (1/36-(145/1296)^(1/2))/(1/36*2)

x = 18*((145/1296)^(1/2)+1/36) or x = 18*(1/36-(145/1296)^(1/2))

(x-18*(1/36-(145/1296)^(1/2)))*(x-18*((145/1296)^(1/2)+1/36)) = 0

((x-18*(1/36-(145/1296)^(1/2)))*(x-18*((145/1296)^(1/2)+1/36)))/2 = 0

((x-18*(1/36-(145/1296)^(1/2)))*(x-18*((145/1296)^(1/2)+1/36)))/2 = 0 // * 2

(x-18*(1/36-(145/1296)^(1/2)))*(x-18*((145/1296)^(1/2)+1/36)) = 0

( x-18*((145/1296)^(1/2)+1/36) )

x-18*((145/1296)^(1/2)+1/36) = 0 // + -18*((145/1296)^(1/2)+1/36)

x = -(-18*((145/1296)^(1/2)+1/36))

x = 18*((145/1296)^(1/2)+1/36)

( x-18*(1/36-(145/1296)^(1/2)) )

x-18*(1/36-(145/1296)^(1/2)) = 0 // + -18*(1/36-(145/1296)^(1/2))

x = -(-18*(1/36-(145/1296)^(1/2)))

x = 18*(1/36-(145/1296)^(1/2))

x in { 18*((145/1296)^(1/2)+1/36), 18*(1/36-(145/1296)^(1/2)) }

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