1/2(x-9)^2=18

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Solution for 1/2(x-9)^2=18 equation: 


x in (-oo:+oo)

(1/2)*(x-9)^2 = 18 // - 18

(1/2)*(x-9)^2-18 = 0

1/2*(x-9)^2-18 = 0

1/2*(x-9)^2-18 = 0

1/2*x^2-9*x+45/2 = 0

1/2*x^2-9*x+45/2 = 0

1/2*x^2-9*x+45/2 = 0

DELTA = (-9)^2-(1/2*4*45/2)

DELTA = 36

DELTA > 0

x = (36^(1/2)+9)/(1/2*2) or x = (9-36^(1/2))/(1/2*2)

x = 15 or x = 3

(x-3)*(x-15) = 0

(x-3)*(x-15) = 0

( x-15 )

x-15 = 0 // + 15

x = 15

( x-3 )

x-3 = 0 // + 3

x = 3

x in { 15, 3 }

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