Pre-calc w-up 10/21 simplify.

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Presentation transcript:

Pre-calc w-up 10/21 simplify

4.7 Radical Equations and Inequalities Equations which radical expressions include variables are radical equations. When you raise each side of an equation you can produce extraneous solution These are solutions that do not satisfy the original equation Therefore, you must always check your answers

Solve for x – must check for extraneous solution

Try this one on your own Ex2: Don’t forget to check:

Ex3: Solve – a little more difficult You’ll have to square each side more than once  good times

We use the same procedure to solve radical inequalities We use the same procedure to solve radical inequalities. Remember you we want real answers so we cannot have negatives under the radical -1.25 < x < 23.75 Can’t have a negative in the square root so lets solve the stuff under the radical sign: 4x+5 > 0 4x > -5 x > -1.25 FINAL ANSWER IS…

SUMMARY: 4.7 page 255 # 12-25 and 29 - 34