If you mean: n^2 -13n +42 then it equals (n -6)(n -7) when factored
n x n2 = n3
n2 + 9n + 18 = (n + 6)(n + 3)
If: n2 = 19 Then: n = the square root of 19.
n2 = 20 + n so n2 - n - 20 = 0 that is (n - 5)(n + 4) = 0 so that n - 5 = 0 or n + 4 = 0 n = 5 or n = -4
n= sqrt 225 = 15
If you mean: n^2 -13n +42 then it equals (n -6)(n -7) when factored
Conditional statement: If n2 equals 64, then n equals 8, where n2 equals 64 is the hypothesis, and n equals 8 is the conclusion. In order to obtain the converse of the conditional we reverse the 2 clauses, then the original conclusion becomes the new hypothesis and the original hypothesis becomes the new conclusion. So that, Converse: If n equals 8, then n2 equals 64.
n x n2 = n3
n2 + 9n + 18 = (n + 6)(n + 3)
If: n2 = 19 Then: n = the square root of 19.
(n + 4)(n - 4)
n = +5 or -5
n2 = 20 + n so n2 - n - 20 = 0 that is (n - 5)(n + 4) = 0 so that n - 5 = 0 or n + 4 = 0 n = 5 or n = -4
Sn = n2 S12 = 122 = 144.
equation works for n = 0 and n = 1 as factors are n and n - 1
so 3n2 = 15 ie n2 = 5 so n = sqrt 5