document.write( "Question 141322: Solve for x:\r
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document.write( "sqrt x-6 + sqrt x+6 = 6\r
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document.write( "a. 3
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document.write( "b. 16
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document.write( "c. 10
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document.write( "d. Cannot be solved\r
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document.write( "This is what I have but it is not an answer.\r
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document.write( "sqrt x-6 = sqrt x+6 +6
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document.write( "(sqrt x-6)^2 = (sqrt x+6+6)^2
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document.write( "(sqrt x+6)^2 + 2 * sqrt x+6*6+6^2
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document.write( "x+6 + 2 sqrt x+6 + 6 + 36
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document.write( "(sqrt x-6)^2 = (sqrt x+6+6)^2
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document.write( "x-6 = x + 6 + 2sqrt x+6+36
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document.write( "x-6 + x + 42 + 2sqrt x+6
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document.write( "2x - 6 = 2sqrt x+6
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document.write( "4x^2 + 36x - 36 + 4 (x+6)
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document.write( "4x^2 + 36x - 36 = 4x + 24
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document.write( "4x^2 - 32x = 0
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document.write( "4x(x - 8x) = 0
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document.write( "4x = 0 and x - 8 = 0
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document.write( "x = 0 x = 8 \n" );
document.write( "
Algebra.Com's Answer #102957 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve for x: \n" ); document.write( "sqrt (x-6) + sqrt (x+6) = 6 \n" ); document.write( "a. 3 \n" ); document.write( "b. 16 \n" ); document.write( "c. 10 \n" ); document.write( "d. Cannot be solved \n" ); document.write( "This is what I have but it is not an answer. \n" ); document.write( "sqrt x-6 = sqrt x+6 +6 \n" ); document.write( "----------------- \n" ); document.write( "Your 2nd line should be: \n" ); document.write( "sqrt(x-6) = 6 - sqrt(x+6) \n" ); document.write( "Now square both sides to get: \n" ); document.write( "x-6 = 36-12sqrt(x+6)+x+6 \n" ); document.write( "-12 = 36-12sqrt(x+6) \n" ); document.write( "-1 = 3 - sqrt(x+6) \n" ); document.write( "-4 = sqrt(x+6) \n" ); document.write( "Square both sides to get: \n" ); document.write( "16 = x+6 \n" ); document.write( "x = 10 \n" ); document.write( "Checking in sqrt (x-6) + sqrt (x+6) = 6 : \n" ); document.write( "sqrt(4) + sqrt(16) = 6 \n" ); document.write( "2 + 4 = 6 \n" ); document.write( "6=6\r \n" ); document.write( "\n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "=========================== \n" ); document.write( " |