SOLUTION: The sum of the square of a number and five times the number itself is 24. By solving a quadratic equation, find the two possible values for the number

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of the square of a number and five times the number itself is 24. By solving a quadratic equation, find the two possible values for the number      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1058220: The sum of the square of a number and five times the number itself is 24. By solving a quadratic equation, find the two possible values for the number
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
The sum of the square of a number and five times the number itself is 24. By solving a quadratic equation,
find the two possible values for the number
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

x%5E2+%2B+5x = 24,   --->

x%5E2+%2B+5x+-+24 = 0.


Factor

(x+8)*(x-3) = 0,

the roots are -8 and 3.

Answer.  The numbers are -8 and 3.