SOLUTION: Write a quadratic equation such that the sum of its roots is 1212 and the product of its roots is 1616.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Write a quadratic equation such that the sum of its roots is 1212 and the product of its roots is 1616.      Log On


   

Question 1128716: Write a quadratic equation such that the sum of its roots is 1212 and the product of its roots is 1616.
Answer by ikleyn(52903) About Me  (Show Source):
You can put this solution on YOUR website!
.
Use Vieta's theotem:



    For any quadratic polynomial with the leading coefficient 1
 
    the sum of the routes is equal to the coefficient at x taken with the opposite sign,

    while the product of the roots is the constant term.



Then you MOMENTARILY get the equation


    x^2 - 1212x + 1616 = 0.