1/2(x^2+x-12)

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


x in (-oo:+oo)

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

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

x^2+x-12 = 0

x^2+x-12 = 0

DELTA = 1^2-(-12*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-1)/(1*2) or x = (-49^(1/2)-1)/(1*2)

x = 3 or x = -4

(x+4)*(x-3) = 0

1/2*(x+4)*(x-3) = 0

( x+4 )

x+4 = 0 // - 4

x = -4

( x-3 )

x-3 = 0 // + 3

x = 3

x in { -4, 3 }

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