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# 10.6 - 10.6 Radical Equations and Problem Solving Power...

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Unformatted text preview: 10.6 Radical Equations and Problem Solving Power Rule If both sides of an equation are raised to the same power, solutions of the new equation contain all the solutions of the original equation, but might also contain additional solutions. A proposed solution of the new equation that is NOT a solution of the original equation is an extraneous solution. Solving a Radical Equation 1)Isolate one radical on one side of the equation. 2)Raise each side of the equation to a power equal to the index of the radical and simplify. 3)If the equation still contains a radical term, repeat Steps 1 and 2. If not, solve the equation. 4) Check all proposed solutions in the original equation. Solve: Ckctiit m =5 , F: chwma batik (slicing leLl H , X+[ 1'2)? l5- : L3— TRULZ‘ LUCIE/55K} +5.3 :— 0 3511 X23 if X9— *12x~2{X 4.49.3 : D ._ 13“ Mai} LLX(X~3)—-'2.I(X-—-3):O _33 (X'3)CLM»21):® ' ﬂ) 6/; cu— X£3 ‘__.—-— ax+ﬂﬁ:% QL3)+JE>+I :- Q 6 H7? 3 <3 64’; 2r? XZ"? 2(353+\Pg:} : % f EivF 6:3 , 2— J % g / (Jr—o m £5 F 3:41) tr / Cg 3i+ 5—: :2 Ci 2 1 E}; 2/9? 2‘ (”\\$& [3 :63 Va Q”: (My JYé—X : Xbi X: Lave. [O‘B‘Hq 5:4}; 6; .. 3? '"L"3F _I\?>'“L¥" Igﬁx-—LXFD \—f,, f -—- :X’ZX+‘ J‘q 75+ +Y' "5 ' I wgdax ”[+- "'-J 3X~H[_ :_ _. :1 Jam : ~21 +4 52m, Sowaw‘m} 515% Sndgs ._,._.— a Q LAlXJ—I) 1 til—kd'éxH‘ SIX—L} 2 ﬁz+m>bz+dgﬁlg “41 1 DE “3J3” ‘“ “MEX—43; + 3x+Lr “4| “if “ﬂaw +2; “3x 43 :8 P X . L .2 ﬂ ,__~ 85) a x t1?“ ’X"‘1 " ”XJBMLI SCVLOWQ— bmH/w SlclJLS CW“ (”X X—tz’) :; CﬁJBXafll); / )9, X120 __ _ vhf JEN—Ly ,___, LX" '9’) CX [2) [ ) L )ax’q __J?>x+(_[«; #— Q '7: l-H'LX +er +1Lu} “:1 [é (Bx-wktt) \f __ g X21” qu +1Lﬂ+r : ch +é [I’ damn,” "113(sz _ _2_ MW “MI X "("3“ \W ‘JW :1 7i #3sz +%o .: m 1ng ;»1 L3 "-515 2"?— OCFZB) [X f”): D ~2_ :,2 [TRUE X: 20 :0 29:! ‘ _ _2_ Pythagorean Theorem hypotenuse, then j+ﬁ=8 There are several applications in this section that require the use of the Pythagorean Theorem in order to solve. Find the length of the hypotenuse of a right triangle when the length of the two legs are 2 inches and 7 inches. C JFnQLLS _ 2— 2— L ;_ f n Ck.) 2T: 53 ...
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10.6 - 10.6 Radical Equations and Problem Solving Power...

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