document.write( "Question 388895: Determine the roots of √2x2 +3x+√2=0 using the method of completing squares \n" ); document.write( "

Algebra.Com's Answer #275309 by stanbon(75887) $\"\"$ $\"About$

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Determine the roots of
\n" ); document.write( "√2x^2 +3x+√2 = 0 using the method of completing squares
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\n" ); document.write( "Divide thru by sqrt(2) to get:
\n" ); document.write( "x^2 + (3sqrt(2)/2)x = -1
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\n" ); document.write( "Complete the square:
\n" ); document.write( "x^2 +(3sqrt(2)/2)x + (3sqrt(2)/4)^2 = -1+(3sqrt(2)/4)^2
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\n" ); document.write( "(x+3sqrt(2)/4)^2 = -1+(9/8)
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\n" ); document.write( "(x+3sqrt(2)/4)^2 = 1/8
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\n" ); document.write( "x = (-3/4)sqrt2+(1/8) or x = (3/4)sqrt(2)+(1/8)
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\n" ); document.write( "Cheers,
\n" ); document.write( "stan H.
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