n/5(n-1)=7

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Solution for n/5(n-1)=7 equation: 


n in (-oo:+oo)

(n/5)*(n-1) = 7 // - 7

(n/5)*(n-1)-7 = 0

1/5*n*(n-1)-7 = 0

1/5*n*(n-1)-7 = 0

1/5*n^2-1/5*n-7 = 0

1/5*n^2-1/5*n-7 = 0

1/5*n^2-1/5*n-7 = 0

DELTA = (-1/5)^2-(-7*1/5*4)

DELTA = 141/25

DELTA > 0

n = ((141/25)^(1/2)+1/5)/(1/5*2) or n = (1/5-(141/25)^(1/2))/(1/5*2)

n = 5/2*((141/25)^(1/2)+1/5) or n = 5/2*(1/5-(141/25)^(1/2))

(n-5/2*(1/5-(141/25)^(1/2)))*(n-5/2*((141/25)^(1/2)+1/5)) = 0

(n-5/2*(1/5-(141/25)^(1/2)))*(n-5/2*((141/25)^(1/2)+1/5)) = 0

( n-5/2*((141/25)^(1/2)+1/5) )

n-5/2*((141/25)^(1/2)+1/5) = 0 // + -5/2*((141/25)^(1/2)+1/5)

n = -(-5/2*((141/25)^(1/2)+1/5))

n = 5/2*((141/25)^(1/2)+1/5)

( n-5/2*(1/5-(141/25)^(1/2)) )

n-5/2*(1/5-(141/25)^(1/2)) = 0 // + -5/2*(1/5-(141/25)^(1/2))

n = -(-5/2*(1/5-(141/25)^(1/2)))

n = 5/2*(1/5-(141/25)^(1/2))

n in { 5/2*((141/25)^(1/2)+1/5), 5/2*(1/5-(141/25)^(1/2)) }

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