document.write( "Question 937567: solve for x: x^(1/2) + 4x^(-1/2)=5
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Algebra.Com's Answer #570979 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "solve for x: x^(1/2) + 4x^(-1/2)=5
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\"highlight%28highlight%28x%5E%281%2F2%29+%2B+4x%5E%28-1%2F2%29+=+5%29%29\"
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document.write( "\"highlight%28sqrt%28x%29+%2B+4%2Fx%5E%281%2F2%29+=+5%29\"
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document.write( "\"sqrt%28x%29+%2B+4%2Fsqrt%28x%29+=+5\"
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document.write( "\"%28sqrt%28x%29%29%5E2+%2B+4+=+5sqrt%28x%29\"  ------ Multiplying by LCD, \"sqrt%28x%29\"
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document.write( "\"x+%2B+4+=+5sqrt%28x%29\"
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document.write( "\"sqrt%28x%29+=+%28x+%2B+4%29%2F5\"
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document.write( "\"%28sqrt%28x%29%29%5E2+=+%28%28x+%2B+4%29%2F5%29%5E2\" ------ Squaring each side
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document.write( "\"x+=+%28x%5E2+%2B+8x+%2B+16%29%2F25\"
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document.write( "\"x%5E2+%2B+8x+%2B+16+=+25x\" ------- Cross-multiplying
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document.write( "\"x%5E2+%2B+8x+-+25x+%2B+16+=+0%7D%7D%0D%0A%7B%7B%7Bx%5E2+%96+17x+%2B+16+=+0\"
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document.write( "\"x%5E2+-+17x+%2B+16+=+0\"
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document.write( "(x - 16)(x - 1) = 0 
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document.write( "\"highlight_green%28system%28x+=+16_or%2Cx+=+1%29%29\"
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document.write( "You can do the check!! \n" );
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