Question

n(n+1)=72 calcular n+2

Answer 1

Respuesta:

n = 8;  n = -9

Explicación paso a paso:

n(n+1)=72 calcular n+2

n(n+1)=72

$n^{2}$+n = 72

n^2+n-72=72-72

n^2+n-72= 0

es una ecuacion cuadratica

$n_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:1\cdot \left(-72\right)}}{2\cdot \:1}$

$n_{1,\:2}=\frac{-1\pm \:17}{2\cdot \:1}$

$n_1=\frac{-1+17}{2\cdot \:1},\:n_2=\frac{-1-17}{2\cdot \:1}$

n1 = $=\frac{16}{2\cdot \:1}$ = 8

n2 = -18 / 2 = -9