# Algebra: quadratic equations

Not what you're looking for? Search our solutions OR ask your own Custom question.

A. Why do you factor a quadratic equation before you solve?

B. Why are there usually two solutions in quadratic equations? Under what conditions will a quadratic equation have only one solution? No solutions?

C. How can you tell before solving the equation how many solutions to expect?

Â© BrainMass Inc. brainmass.com March 4, 2021, 10:39 pm ad1c9bdddfhttps://brainmass.com/math/basic-algebra/algebra-quadratic-equations-349540

#### Solution Preview

A. We factor quadratic equations before we solve, because in this way is easier to find the solutions.

Let us say that we have a quadratic equation: ax^2+bx+c=0.

After factoring it, we get (x-x1)(x-x2)=0 and from here we get x=x1 and ...

#### Solution Summary

Solve quadratic equations by factoring and quadratic formula methods.

$2.49