Equations with Two Radical Terms

Equations with Two Radical Terms

 

A general strategy for solving radical equations, including those with two radical terms, is as follows.

 

SOLVING RADICAL EQUATIONS

To solve radical equations:

a. Isolate one of the radical terms.

b. Use the principle of powers.

c. If a radical remains, perform steps (a) and (b) again.

d. Check possible solutions.

 

Applications

Speed of Sound. Many applications translate to radical equations. For example,

at a temperature of t degrees Fahrenheit, sound travels S feet per second,

where

S = 21.9 \sqrt{5t + 2457}.

 

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