mac1147_lecture8_1_c

mac1147_lecture8_1_c - L8 Other Types of Equations...

Info iconThis preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
71 L8 Other Types of Equations Equations with Radical and Rational Exponents When solving an equation linear in form with radicals or rational exponents, simplify the equation, isolate the most complicated radical on one side, and then raise both sides to the power equal to the index of the radical in order to eliminate the last. You may need to repeat this procedure if the resulting equation still contains a radical. Note : We solve radical equations over the real numbers. Caution! If you raise both sides of an equation to an even power , the new equation may have more real solutions than the original one. Example : Equation 6 x = has solution set: {6}. Raising both sides to the power 2, gives the equation 2 36 x = which has solution set 6 x = ± . Thus, 6 x =− is an extraneous solution of the original equation and must be rejected. Important ! When raising to an even power, always check each proposed solution in the original equation.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
72 Example : Solve 21 5 4 0 x x −= . Example : Solve 4 91 8 x =− . Note : If n is an even number , n a is never negative
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 8
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 10
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 10

mac1147_lecture8_1_c - L8 Other Types of Equations...

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online