SOLUTION: Construct the quadratic equation in the form az2+bz+c =0 having the following solutions. Find the coefficients a, band c for each equation. (a) (a) z=7, z=−2. ___ z2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Construct the quadratic equation in the form az2+bz+c =0 having the following solutions. Find the coefficients a, band c for each equation. (a) (a) z=7, z=−2. ___ z2      Log On


   

Question 992267: Construct the quadratic equation in the form az2+bz+c =0 having the following solutions. Find the coefficients a, band c for each equation.
(a)
(a) z=7, z=−2.
___ z2+ ___ z+ ___ =0

(b) z=−3+4i, z=−3−4i.
___ z2+ ___ z+ ___ =0
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You cannot construct THE quadratic equation knowing only two points on the curve, in this case the two zeros or x-intercepts. In the case of your first example, you know that one factor of the quadratic trinomial is and another factor is . But there could also be some real number such that the complete factorization of the trinomial would be and the family of quadratic equations related in that they would all have the same roots would be . Had the question asked you to construct A quadratic equation, that would have been a different story.

John

My calculator said it, I believe it, that settles it