document.write( "Question 82458: Hello,\r
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document.write( "I need help with the following problems as I get an error message on my calculator!
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document.write( "1. sqrt x-1=3 ( I don't know the square root symbol!)\r
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document.write( "2. sqrt x^3=8\r
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document.write( "3. 3 sqrt x^2=4\r
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document.write( "4. Is sqrt x^2 power an identity (true for all values of x)?\r
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document.write( "Thanks so much for your help!! :)
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Algebra.Com's Answer #59103 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 1. sqrt(x-1) = 3 \n" ); document.write( ": \n" ); document.write( "(Sqrt(x-1))^2 = 3^2; square both sides \n" ); document.write( "x - 1 = 9; gets rid of the radical \n" ); document.write( "x = 9 + 1 \n" ); document.write( "x = 10 \n" ); document.write( "Check: sqrt(10-1) = 3 \n" ); document.write( ": \n" ); document.write( "2. sqrt(x^3) = 8 \n" ); document.write( "Square both sides again: \n" ); document.write( "x^3 = 64 \n" ); document.write( "x = CubeRt(64) \n" ); document.write( "x = 4 \n" ); document.write( "Check: Sqrt(4^3) = 8 \n" ); document.write( ": \n" ); document.write( "3. 3*sqrt(x^2) = 4 \n" ); document.write( "Square both sides: \n" ); document.write( "(3*sqrt(x^2) = 4^2 \n" ); document.write( "9*(x^2) = 16 \n" ); document.write( "x^2 = 16/9 \n" ); document.write( "x = Sqrt(16/9) \n" ); document.write( "x = +/-4/3 \n" ); document.write( "Check 3 * sqrt[(4/3)^2] = 4 (on a calc) \n" ); document.write( ": \n" ); document.write( "4. Is sqrt x^2 power an identity (true for all values of x)? \n" ); document.write( "I think it is \n" ); document.write( " |