# Rational equation, Rational expression, Quadratic equations

1. When solving a rational equation, why it is ok to remove the denominator by multiplying both sides by the LCD (least common denominator)? Why can you not do the same operation when simplifying a rational expression?

2. Why are there usually two solutions in quadratic equations? Under what situation would one or more solutions of a rational equation be unacceptable?

3. What square root property is essential to solve any radical equation involving radicals?

https://brainmass.com/math/basic-algebra/rational-equation-rational-expression-quadratic-equations-336019

#### Solution Preview

1. When solving a rational equation, why it is OK to remove the denominator by multiplying both sides by the LCD and why can you not do the same operation when simplifying a rational expression?

2. Why are there usually two solutions in quadratic equations? Under what situation would one or more solutions of a rational equation be unacceptable?

3. What square root property is essential to solve any radical equation involving radicals?

(1) As a rule, we can ...

#### Solution Summary

The expert examines rational equations for the least common denominator. A complete, neat and step-by-step solution is provided in the attached file.