document.write( "Question 264969: Solve each quadratic equation by completing the square.
\n" ); document.write( "4x(squared)=-2x+1\r
\n" ); document.write( "\n" ); document.write( "I get it where there are variables on one side and constants on the other, but the fractions are throwing me off. \n" ); document.write( "

Algebra.Com's Answer #194938 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve each quadratic equation by completing the square.
\n" ); document.write( "4x(squared)=-2x+1
\n" ); document.write( "--
\n" ); document.write( "4x^2 + 2x = 1
\n" ); document.write( "4(x^2 + (1/2)x + ? = 1 + 4*?
\n" ); document.write( "---\r
\n" ); document.write( "\n" ); document.write( "The 3rd term is ((1/2)b)^2 = [(1/2)(1/2)]^2 = (1/4)^2\r
\n" ); document.write( "\n" ); document.write( "--------------------------------------------------
\n" ); document.write( "4(x^2 + (1/2)x + (1/4)^2) = 1 + 4(1/4)^2
\n" ); document.write( "4(x+(1/4)^2 = 1 + 4(1/16)
\n" ); document.write( "4(x+(1/4))^2 = 1 + (1/4)
\n" ); document.write( "4(x+(1/4))^2 = 5/4
\n" ); document.write( "(x+(1/4))^2 = 5/16
\n" ); document.write( "x+(1/4) = (1/4)sqrt(5)
\n" ); document.write( "x = -(1/4+-(1/4sqrt(5)
\n" ); document.write( "x = (-1/4)[1+-sqrt(5)]
\n" ); document.write( "============================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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