Resolver n^2+13n+40=y

$$n ^ { 2 } + 13 n + 40 = y$$

Resolver y

$$y=\left(n+5\right)\left(n+8\right)$$

Pasos da solución

Cambia de lado para que todos os termos variables estean no lado esquerdo.

$$y=n^{2}+13n+40$$

Resolver n (complex solution)

$$n=\frac{\sqrt{4y+9}-13}{2}$$

$$n=\frac{-\sqrt{4y+9}-13}{2}$$

Resolver n

$$n=\frac{\sqrt{4y+9}-13}{2}$$

$$n=\frac{-\sqrt{4y+9}-13}{2}\text{, }y\geq -\frac{9}{4}$$