Answer :
let x be the number
⇒ x² - x = 182
by transposition
x² - x - 182 = 0
this can be written as
x² -14x + 13x - 182 = 0
by factorisation
x(x - 14) + 13 (x - 14) = 0
(x - 14) (x + 13) = 0
∴ x = 14 OR x = -13.
Therefore the number is 14.
⇒ x² - x = 182
by transposition
x² - x - 182 = 0
this can be written as
x² -14x + 13x - 182 = 0
by factorisation
x(x - 14) + 13 (x - 14) = 0
(x - 14) (x + 13) = 0
∴ x = 14 OR x = -13.
Therefore the number is 14.
