(x*(x-1))/2=120

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Solution for (x*(x-1))/2=120 equation: 


x in (-oo:+oo)

(x*(x-1))/2 = 120 // - 120

(x*(x-1))/2-120 = 0

(x*(x-1))/2+(-120*2)/2 = 0

x*(x-1)-120*2 = 0

x^2-x-240 = 0

x^2-x-240 = 0

x^2-x-240 = 0

DELTA = (-1)^2-(-240*1*4)

DELTA = 961

DELTA > 0

x = (961^(1/2)+1)/(1*2) or x = (1-961^(1/2))/(1*2)

x = 16 or x = -15

(x+15)*(x-16) = 0

((x+15)*(x-16))/2 = 0

((x+15)*(x-16))/2 = 0 // * 2

(x+15)*(x-16) = 0

( x+15 )

x+15 = 0 // - 15

x = -15

( x-16 )

x-16 = 0 // + 16

x = 16

x in { -15, 16 }

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