Five times of positive whole number is 3 less than twice the square of...
Given information:
A positive whole number is such that five times the number is 3 less than twice the square of the number. We need to determine the number.
Solution:
Let's assume the positive whole number as 'n'.
According to the given information, five times the number is 3 less than twice the square of the number. Mathematically, we can represent this as:
5n = 2n^2 - 3
Rearranging the equation:
We can rearrange the equation to isolate the variable 'n' on one side:
2n^2 - 5n - 3 = 0
Factoring the quadratic equation:
We can factorize the quadratic equation to find the values of 'n'.
2n^2 - 5n - 3 = (2n + 1)(n - 3) = 0
Solving the equation, we get two possible values for 'n':
n = -1/2 or n = 3
Choosing the valid solution:
Since the question mentions a positive whole number, we can discard the negative solution (-1/2) and consider the positive solution, which is 'n = 3'.
Final answer:
The positive whole number is 3.
Summary:
The positive whole number satisfying the given conditions is 3.