SOLUTION: Use the quadratic formula to find the roots of 3x^2+10x-5=0

Algebra.Com
Question 179924: Use the quadratic formula to find the roots of 3x^2+10x-5=0
Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!
3x^2+10x-5=0
:
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=160 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.441518440112253, -3.77485177344559. Here's your graph:

RELATED QUESTIONS

use the quadratic formula to find the roots of each quadratic equation.... (answered by nerdybill)
1. Use the discriminant to determine the number of solutions for x^2-3x+6=0 2. Solve... (answered by MathLover1)
Use the quadratic formula to find all roots: f(x)=... (answered by ankor@dixie-net.com)
find the quadratic equation whose roots is; three times the roots of... (answered by basketball1127)
Use the quadratic formula to solve equation. Write irrational roots in the simplest... (answered by solver91311)
Part A: What is the quadratic formula, and how can it be used to find the roots of a... (answered by ikleyn)
1.use the quadratic formula to solve this problem 3x^2+7x-20=0 2.Compute the... (answered by u753952)
using the quadratic formula use it to find the roots of the equation... (answered by solver91311)
Use the quadratic formula to solve equation. Write irrational roots in the simplest... (answered by solver91311)