SOLUTION: construct a quadratic equation, if the sum and the product of the roots are 3 and -2 respectively.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: construct a quadratic equation, if the sum and the product of the roots are 3 and -2 respectively.      Log On


   

Question 1064359: construct a quadratic equation, if the sum and the product of the roots are 3 and -2 respectively.
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
x%5E2+-+3x+-+2 = 0.

The sum of roots of a quadratic equation is equal to the coefficient at "x" with the opposite sign.
The product of roots of a quadratic equation is equal to the constant term of the equation.

It is Vieta's (or Viete's) theorem of Algebra.