Question

Find a natural number square diminished by $84$ is equal to thrice of $8$ more than the given number .

Answer 1

Given,

$n^2-84=3(n+8)$

$n^2-84=3n+24$

$n^2-3n-108=0$

$(n-12)(n+9)=0$

$\therefore n=12$

Is the required answer