Answer:
The number is either 3 or 4
Explanation:
Assume that the number we are looking for is x
The square of the number would be x²
7 times the number would be 7x
We are given that:
square of the number (x²) is 12 less than 7 times the number (7x)
Translating this into an equation, we would have:
x² = 7x - 12
Rearranging the quadratic equation:
x² - 7x + 12 = 0
Now, we factor the equation:
(x-4)(x-3) = 0
This means that:
either x-4 = 0 ..................> x = 4
or x-3 = 0 ........................> x = 3
Let's check if any of the solutions is an extrovert:
For x = 3 .............> (3)² = 7(3) - 12 .........> 9 = 21 - 12 .......> 9 = 9 .......> not extrovert
For x = 4 .............> (4)² = 7(4) - 12 .........> 16 = 28 - 12 .....> 16 = 16 ....> not extrovert
Since we have no restrictions on the number, therefore, both solutions would be accepted
Hope this helps :)
