1/2(x-11)^2+12=30

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Solution for 1/2(x-11)^2+12=30 equation: 


x in (-oo:+oo)

(1/2)*(x-11)^2+12 = 30 // - 30

(1/2)*(x-11)^2-30+12 = 0

1/2*(x-11)^2-30+12 = 0

1/2*(x-11)^2-30+12 = 0

1/2*x^2-11*x+12+61/2 = 0

1/2*x^2-11*x+85/2 = 0

1/2*x^2-11*x+85/2 = 0

1/2*x^2-11*x+85/2 = 0

DELTA = (-11)^2-(1/2*4*85/2)

DELTA = 36

DELTA > 0

x = (36^(1/2)+11)/(1/2*2) or x = (11-36^(1/2))/(1/2*2)

x = 17 or x = 5

(x-5)*(x-17) = 0

(x-5)*(x-17) = 0

( x-17 )

x-17 = 0 // + 17

x = 17

( x-5 )

x-5 = 0 // + 5

x = 5

x in { 17, 5 }

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