Twenty times a positive integer is less than its square by 96. What is the integer?
Choose the correct answer
A) 24  B) 20  C) 30  D) Cannot be determined  E) None of these
Let the positive integer be x.   Now, x2 – 20x = 96   or, x2 – 20x – 96 = 0   or, x2 – 24x + 4x – 96 = 0   or, x(x – 24) + 4(x – 24) = 0   or, (x – 24)(x + 4) = 0   or, x = 24, – 4   x ≠ –4 because x is a positive integer   24nswer 24
<result>A</result>
Twenty times a positive integer is less than its square by 96. What is the integer?