Explanation:
Let the whole number be ‘n'
Twice it's square subtracted from 7 times the number makes 3 .
So,
7n - 2n^2 = 3
2n^2 - 7n = -3
2n^2 - 7n + 3 = 0
Factorising the above expression as,
2n^2 - 6n -n +3 =0
2n(n - 3) - 1(n - 3) =0
(n - 3) (2n - 1) = 0
(n - 3) =0 or (2n - 1) = 0
n - 3 =0 or 2n - 1 = 0
n = 3 or 2n = 1
n = 3 or n = 1/2
Since n is a whole number, the value of n must be 3.
The value of the whole number n = 3