SOLUTION: A quadratic equation is shown below: 3x2 − 15x − 10 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. Par

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: A quadratic equation is shown below: 3x2 − 15x − 10 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. Par      Log On


   

Question 1084717: A quadratic equation is shown below:
3x2 − 15x − 10 = 0
Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work.
Part B: Solve 4x2 − 8x − 5 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

part A:
3x%5E2+%26%238722%3B+15x+%26%238722%3B+10+=+0+
Radicand = Discriminant+=+b%5E2-4ac=%28-15%29%5E2+-+4%283%29%28-10%29+=+225%2B120=345 ->there are two+real solutions
part B:
4x%5E2+-8x+-+5+=+0......factor completely, it's easier to find roots if you use zero product theorem
4x%5E2%2B2x+-10x-5+=+0
%284x%5E2%2B2x%29+-%2810x%2B5%29+=+0
2x%282x%2B1%29+-5%282x%2B1%29+=+0
%282x+-+5%29+%282x+%2B+1%29+=+0
solutions:
if %282x+-+5%29++=+0->2x=5->x=5%2F2
if +%282x+%2B+1%29+=+0->2x=-1->x=-1%2F2