n/2(1+n)=10

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Solution for n/2(1+n)=10 equation:


n in (-oo:+oo)

(n/2)*(n+1) = 10 // - 10

(n/2)*(n+1)-10 = 0

1/2*n*(n+1)-10 = 0

1/2*n*(n+1)-10 = 0

1/2*n^2+1/2*n-10 = 0

1/2*n^2+1/2*n-10 = 0

1/2*n^2+1/2*n-10 = 0

DELTA = (1/2)^2-(-10*1/2*4)

DELTA = 81/4

DELTA > 0

n = ((81/4)^(1/2)-1/2)/(1/2*2) or n = (-(81/4)^(1/2)-1/2)/(1/2*2)

n = 4 or n = -5

(n+5)*(n-4) = 0

(n+5)*(n-4) = 0

( n+5 )

n+5 = 0 // - 5

n = -5

( n-4 )

n-4 = 0 // + 4

n = 4

n in { -5, 4 }

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