If 5 times of a positive whole number is 3 less than 2 times of its square, then find the number.

Explanation

Let the number `=x(xgt0)`
As per questions, `5x=2x^(2)-3`
or, `2x^(2)-5x-3=0`
or, `2x^(2)-(6-1)x-3=0`
or, `2x^(2)-6x+x-3=0`
or, `2x(x-3)+1(x-3)=0`
or, `(x-3)(2x+1)=0`
`:.` either `x-3=0" "or,2x+1=0`
`impliesx=3" "or,2x=-1`
or, `x=-(1)/(2)`
Since the number is a whole number, `:.xne-(1)/(2)`
`:.x=3`
Hence the required positive whole number is 3.