5 times a number is 14 less than the square of that number. Find the positive solution.
Let's assume the number is "x".
According to the given information, the equation can be written as:
5x = x^2 - 14
Moving all the terms to one side of the equation, we get:
x^2 - 5x - 14 = 0
To solve this quadratic equation, we can factor it. The equation can be factored as:
(x - 7)(x + 2) = 0
Setting each factor equal to zero, we get:
x - 7 = 0 or x + 2 = 0
Solving these equations, we find:
x = 7 or x = -2
Since we are looking for the positive solution, the answer is:
x = 7