SOLUTION: I'm thinking of a number. My number has the property that its square is equal to 270 more than five times the number. Enter all numbers that have this property.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I'm thinking of a number. My number has the property that its square is equal to 270 more than five times the number. Enter all numbers that have this property.      Log On


   

Question 1209108: I'm thinking of a number. My number has the property that its square is equal to 270 more than five times the number. Enter all numbers that have this property.
Answer by ikleyn(52818) About Me  (Show Source):
You can put this solution on YOUR website!
.

Write an equation as you read the problem

    x^2 = 5x + 270.


Reduce it to the standard form quadratic equation and apply the quadratic formula.

On solving quadratic equations using the quadratic formula,  see the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
in this site.