Question

A quadratic equation is shown below: 3x2 − 16x + 2 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. Part B: Solve 9x2 + 3x − 2 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.

Answer 1

i think you mean discriminant in part A 
Δ=b^2-4ac=256-4*2*3=256-24=232
it is positive so it has two answers.
Part B
you can find Δ
Δ=b^2-4ac=9-4*9*(-2)=81
x1=-3+9/18=6/18=1/3
x2=-3-9/18=-12/18=-2/3