Warm-up: Solve for x. Hint, factor first!.

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Presentation transcript:

Warm-up: Solve for x. Hint, factor first!

Solving Rational Equations Objective: Create a least common denominator (LCD) in order to solve for the unknown variable.

Hint for solving: A quick way to solve a rational equation is to create a common denominator. The numerators must then make a true statement in which we can solve for the variable! This will get rid of all the fractions! Beware of extraneous solutions!

Example: Solve. Check your solution!

Solve. ? Check your solution! No Solution!

Solve. Factor 1st! Check your solutions!

Solve for x, state the domain restrictions. Sneedlegrit 1: Solve for x, state the domain restrictions.

Short Cut! When there is only one fraction on each side of the =, just cross multiply as if you are solving a proportion.

Example: Solve. Check your solutions!

Last Example: Solve. Check your solutions!

Sneedlegrit 2: Solve for x, state the domain restrictions.

Assignment HW: Solve Rational Equations