SOLUTION: What three techniques can be used to solve a quadratic equation? Demonstrate these techniques on the equation "x2 - 10x - 39 = 0".

Algebra.Com
Question 193499: What three techniques can be used to solve a quadratic equation? Demonstrate these techniques on the equation "x2 - 10x - 39 = 0".


Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!
1) factoring
:
2) completing the square
:





:
3) quadratic formula
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=256 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 13, -3. Here's your graph:
RELATED QUESTIONS

What three techniques can be used to solve a quadratic equation? Demonstrate these... (answered by stanbon)
What three techniques can be used to solve a quadratic equation? Demonstrate these... (answered by RAY100)
What three techniques can be used to solve a quadratic equation? Demonstrate these... (answered by solver91311)
Can somebody please help me? 2. What three techniques can be used to solve a... (answered by jim_thompson5910)
What three techniques can be used to solve a quadratic equation? Demonstrate these... (answered by Nate)
What three techniques can be used to solve a quadratic equation? Demonstrate these... (answered by stanbon)
What three techniques can be used to solve a quadratic equation? Demonstrate these... (answered by Alan3354)
5b. What three techniques can be used to solve a quadratic equation? Demonstrate... (answered by Alan3354)
5b. What three techniques can be used to solve a quadratic equation? Demonstrate these (answered by Fombitz)