document.write( "Question 25018: re-post questions
\n" ); document.write( "1. √x-1=3
\n" ); document.write( "2. √x^3=8
\n" ); document.write( "3. 3√x^2=4
\n" ); document.write( "4. Is an identity (true for all values of x)?
\n" ); document.write( " Answer and explain
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Algebra.Com's Answer #13415 by venugopalramana(3286)\"\" \"About 
You can put this solution on YOUR website!
1. √x-1=3
\n" ); document.write( "√x=3+1=4..SQUARING BOTH SIDES
\n" ); document.write( "X=4*4=16\r
\n" ); document.write( "\n" ); document.write( "2. √x^3=8
\n" ); document.write( "√x=8^(1/3)=2...SQUARING BOTH SIDES
\n" ); document.write( "X=2*2=4\r
\n" ); document.write( "\n" ); document.write( "3. 3√x^2=4..ASSUMING YOU MEANT (3√x)^2=4
\n" ); document.write( "9X=16..OR X=16/9
\n" ); document.write( "...OR.....ASSUMING YOU MEANT 3(√x)^2=4
\n" ); document.write( "3X=4..OR...X=4/3\r
\n" ); document.write( "\n" ); document.write( "4. Is an identity (true for all values of x)?
\n" ); document.write( " YES IDENTICAL OR CONGRUENT MEANS TRUE FOR ALL VALUES OF X
\n" ); document.write( "FOR EXAMPLE
\n" ); document.write( "(X+A)^2=X^2+A^2+2*X*A...FOR ALL VALUES OF X AND A .THIS IS AN IDENTITY.YOU CAN TEST BY TAKING DIFFERENT VALUES FOR X AND A.SAY 1,2,3 ETC..\r
\n" ); document.write( "\n" ); document.write( "ON THE OTHER HAND X+3=4 AND X^2=4 ARE NOT IDENTITIES ...IT IS ONLY TRUE FOR A CERTAIN VALUE / OR SOME OR MANY VALUES VALUES OF X BUT NOT ALL VALUES OF X.HERE
\n" ); document.write( "X+3=4 IS TRUE ONLY FOR X=1
\n" ); document.write( "X^2=4 IS TRUE ONLY FOR X= +2 AND -2
\n" ); document.write( "SIMILARLY X+A=10 IS TRUE FOR MANY VALUES OF X BUT NOT FOR ALL VALUES OF X ...IF A=4 THEN X=6...IF A=2 THEN X=8 ETC...
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