document.write( "Question 983694: Solve by completing the square and quadratic formula:\r
\n" ); document.write( "\n" ); document.write( "1.) 3x^2+8x+5=0
\n" ); document.write( "2.) x^2+4x+1=0
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Algebra.Com's Answer #604500 by josgarithmetic(39630)\"\" \"About 
You can put this solution on YOUR website!
General solution for formula of quadratic equation is the shortcut for Completing the Square.\r
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\n" ); document.write( "\n" ); document.write( "Help just on your #1:\r
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\n" ); document.write( "\n" ); document.write( "\"3%28x%5E2%2B%288%2F3%29x%2B5%2F3%29=0\"
\n" ); document.write( "\"3%28x%5E2%2B%288%2F3%29x%2B%288%2F6%29%5E2-%288%2F6%29%5E2%2B5%2F3%29=0\"
\n" ); document.write( "\"3%28%28x%2B8%2F6%29%5E2-4%2F3%2B5%2F3%29=0\"
\n" ); document.write( "\"3%28%28x%2B4%2F3%29%5E2%2B1%2F3%29=0\"
\n" ); document.write( "\"highlight_green%283%28x%2B4%2F3%29%5E2%2B1=0%29\"-------Same equation but now in standard form.\r
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\n" ); document.write( "\n" ); document.write( "Finding x
\n" ); document.write( "\"3%28x%2B4%2F3%29%5E2=-1\"
\n" ); document.write( "\"%28x%2B4%2F3%29%5E2=-1%2F3\"
\n" ); document.write( "\"x%2B4%2F3=0%2B-+sqrt%28-1%2F3%29\"
\n" ); document.write( "\"x=-4%2F3%2B-+sqrt%28-1%2F3%29\"
\n" ); document.write( "Observe the imaginary number.
\n" ); document.write( "\"x=-4%2F3%2B-+i%2Asqrt%281%2F3%29\"
\n" ); document.write( "Rationalizing the irrational term,
\n" ); document.write( "\"highlight%28x=-4%2F3%2B-+i%2Asqrt%283%29%2F3%29\"\r
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\n" ); document.write( "\n" ); document.write( "You could also use the formula for general solution of a quadratic equation, just substituting the coefficients into the formula.
\n" ); document.write( "\"x=%28-8%2B-+sqrt%288%5E2-4%2A3%2A5%29%29%2F%282%2A3%29\"
\n" ); document.write( "and simplify it.
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