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
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
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