<u><em>Answer:</em></u>
The number is either 3 or 4
<u><em>Explanation:</em></u>
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
<u>We are given that:</u>
square of the number (x²) is 12 less than 7 times the number (7x)
<u>Translating this into an equation, we would have:</u>
x² = 7x - 12
<u>Rearranging the quadratic equation:</u>
x² - 7x + 12 = 0
<u>Now, we factor the equation:</u>
(x-4)(x-3) = 0
<u>This means that:</u>
either x-4 = 0 ..................> x = 4
or x-3 = 0 ........................> x = 3
<u>Let's check if any of the solutions is an extrovert:</u>
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 :)
