9/2-(x-6)^2/6=x-1

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Solution for 9/2-(x-6)^2/6=x-1 equation: 


x in (-oo:+oo)

9/2-(((x-6)^2)/6) = x-1 // - x-1

9/2-(((x-6)^2)/6)-x+1 = 0

(-1*(x-6)^2)/6-x+9/2+1 = 0

(-1*2*(x-6)^2)/(2*6)+(2*6*(-x))/(2*6)+(6*9)/(2*6)+(1*2*6)/(2*6) = 0

2*6*(-x)-1*2*(x-6)^2+6*9+1*2*6 = 0

12*x-2*x^2-72+12+54 = 0

12*x-2*x^2-18+12 = 0

12*x-2*x^2-6 = 0

12*x-2*x^2-6 = 0

2*(6*x-x^2-3) = 0

6*x-x^2-3 = 0

DELTA = 6^2-(-3*(-1)*4)

DELTA = 24

DELTA > 0

x = (24^(1/2)-6)/(-1*2) or x = (-24^(1/2)-6)/(-1*2)

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

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

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

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

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

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

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

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

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

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

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

x in { (-2*6^(1/2)-6)/(-2), (2*6^(1/2)-6)/(-2) }

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