# 1.4 RadicalsEquations - substituted in the original...

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1.4 RADICAL EQUATIONS; EQUATIONS QUADRATIC IN FORM To solve equations involving radical expressions, isolate the radical on one side; then raise both sides of the equation to a power equal to the root index of the radical. This will remove the radical, and the equation can be solved in the usual manner. However, it is important to check for extraneous solutions. An extraneous solution is one that is solved correctly but, when

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Unformatted text preview: substituted in the original equation, gives a false solution. Solve and check: 1. 7 4 5 = + x 2. 6 1 3 =-+ w 3. 6 2 8 4 = +-x 4. x x-=-4 4 48 4 5. 5 3-=-y y 6 . ( 29 1 3 3 4 X + = 7. 3 2 21 4 + = + y y 8. 4 2 9 1 x x +-+ = -9. 10 3 x x + + = 10. x 4 – 8x 2 + 12 = 0 11. 2 2 2 ( 2 ) 11( 2 ) 24 y y y y---+ = 12. 12 20 a a-+ = 13. 2 1 2 7 15 y y--+-= 14. x x-= 4 1 3 48...
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1.4 RadicalsEquations - substituted in the original...

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