(x*(x+1))/2=28

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Solution for (x*(x+1))/2=28 equation: 


x in (-oo:+oo)

(x*(x+1))/2 = 28 // - 28

(x*(x+1))/2-28 = 0

(x*(x+1))/2+(-28*2)/2 = 0

x*(x+1)-28*2 = 0

x^2+x-56 = 0

x^2+x-56 = 0

x^2+x-56 = 0

DELTA = 1^2-(-56*1*4)

DELTA = 225

DELTA > 0

x = (225^(1/2)-1)/(1*2) or x = (-225^(1/2)-1)/(1*2)

x = 7 or x = -8

(x+8)*(x-7) = 0

((x+8)*(x-7))/2 = 0

((x+8)*(x-7))/2 = 0 // * 2

(x+8)*(x-7) = 0

( x+8 )

x+8 = 0 // - 8

x = -8

( x-7 )

x-7 = 0 // + 7

x = 7

x in { -8, 7 }

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