Question

Solve n2 + 11n + 30 = 0
help

Answer 1

n = -5 or -6

Explanation:

`n^2+ 11n + 30 = 0`

Lets factorise the quadratic equation :-

→ Lets split the middle term of the equation.

`=> n^2 + 5n + 6n + 30 = 0`

→ Lets take 'n' common from the first 2 terms & '6' common from last 2 terms.

`=> n(n + 5) + 6(n + 5) = 0`

→ Lets take (n + 5) whole in common from the equation.

`=> (n + 5)(n + 6) = 0`

Here , we get 2 values of n :-

1)
`n + 5 = 0`

`=> n = -5`

2)
`n + 6 = 0`

`=> n = -6`

∴ Hence , n = -5 or -6