document.write( "Question 455105: How do I find the exact and approximate solutions of this equation? x^2+3x-5=0 \n" ); document.write( "

Algebra.Com's Answer #312500 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can \"complete the square\":
\n" ); document.write( "x^2+3x-5=0
\n" ); document.write( "x^2+3x=5
\n" ); document.write( "x^2+3x + 9/4 = 5 + 9/4
\n" ); document.write( "x^2+3x + 9/4 = 20/4 + 9/4
\n" ); document.write( "x^2+3x + 9/4 = 29/4
\n" ); document.write( "(x+3/2)(x+3/2) = 29/4
\n" ); document.write( "(x+3/2)^2 = 29/4
\n" ); document.write( "x+3/2 = sqrt(29/4)
\n" ); document.write( "x+3/2 = sqrt(29)/2
\n" ); document.write( "x = sqrt(29)/2 - 3/2
\n" ); document.write( "x = (sqrt(29)- 3)/2
\n" ); document.write( "or
\n" ); document.write( "x = $\"%28sqrt%2829%29-+3%29%2F2\"$ Exact answer
\n" ); document.write( ".
\n" ); document.write( "x = 1.193 Approximate answer\r
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