1/2((x-3)(x))=9

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Solution for 1/2((x-3)(x))=9 equation: 


x in (-oo:+oo)

(1/2)*x*(x-3) = 9 // - 9

(1/2)*x*(x-3)-9 = 0

1/2*x*(x-3)-9 = 0

1/2*x*(x-3)-9 = 0

1/2*x^2-3/2*x-9 = 0

1/2*x^2-3/2*x-9 = 0

1/2*x^2-3/2*x-9 = 0

DELTA = (-3/2)^2-(-9*1/2*4)

DELTA = 81/4

DELTA > 0

x = ((81/4)^(1/2)+3/2)/(1/2*2) or x = (3/2-(81/4)^(1/2))/(1/2*2)

x = 6 or x = -3

(x+3)*(x-6) = 0

(x+3)*(x-6) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x-6 )

x-6 = 0 // + 6

x = 6

x in { -3, 6 }

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