document.write( "Question 135617: Write a quadratic equation for which the following are solutions for x: ± 3i
\n" ); document.write( "This one has me a bit confused. Here's what I get
\n" ); document.write( "x = ±i sqrt 9
\n" ); document.write( "x = ± sqrt -9
\n" ); document.write( "x^2=-9
\n" ); document.write( "x^2+9=0
\n" ); document.write( "That's not a complete quadratic equaiton, but I don't know what to do next or if I'm doing it right to begin with.
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Algebra.Com's Answer #99354 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
I see nothing wrong with what you have done and your answer is correct.
\n" ); document.write( "When you say that it is not a \"complete\" quadratic equation, what you mean is that in the general form:\"ax%5E2%2Bbx%2Bc+=+0\" , b happens to be zero but that doesn't mean that you don't have a quadratic equation.
\n" ); document.write( "The proof, of course, is to solve your answer to see if you get the given solutions of: x = 3i and x = -3i\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B9+=+0\" Subtract 9 from both sides.
\n" ); document.write( "\"x%5E2+=+-9\" Take the square root of both sides.
\n" ); document.write( "\"x+=+sqrt%28-9%29\" or \"x+=+-sqrt%28-9%29\" and \"sqrt%28-9%29+=+3sqrt%28-1%29\" = \"3i\" so...
\n" ); document.write( "\"x+=+3i\" or \"x+=+-3i\"
\n" ); document.write( "
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