document.write( "Question 1059706: Solve the equation by completing the square and applying the square root property. Write imaginary solutions in the form a+bį.
\n" ); document.write( "2a^2+4a+5=0
\n" ); document.write( "2a^2+4a=-5
\n" ); document.write( "((2a^2)/2)+(4a/2))=(-5/2)
\n" ); document.write( "(1/2(2)^2)=1
\n" ); document.write( "a^2+2a+1=-5/2+1
\n" ); document.write( "(a+1)^2=(-5/2)+(2/2)
\n" ); document.write( "(a+1)^2=-3/2
\n" ); document.write( "sqrt (a+1)^2=sqrt(-3/2)
\n" ); document.write( "a+1=+or- sqrt(3/2)į
\n" ); document.write( "

Algebra.Com's Answer #674744 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
Solve the equation by completing the square and applying the square root property. Write imaginary solutions in the form a+bį.
\n" ); document.write( "2a^2+4a+5=0
\n" ); document.write( "2a^2+4a=-5
\n" ); document.write( "((2a^2)/2)+(4a/2))=(-5/2)
\n" ); document.write( "(1/2)(2)^2) = 1
\n" ); document.write( "a^2+2a+1=-5/2+1
\n" ); document.write( "(a+1)^2=(-5/2)+(2/2)
\n" ); document.write( "(a+1)^2=-3/2
\n" ); document.write( "sqrt (a+1)^2=sqrt(-3/2)
\n" ); document.write( "a+1=+or- sqrt(3/2)į
\n" ); document.write( "
\"2a%5E2+%2B+4a+%2B+5+=+0\" 
\n" ); document.write( "\"2a%5E2+%2B+4a+=+-+5\" <======== Correct
\n" ); document.write( "\"2a%5E2%2F2+%2B+%284a%2F2%29+=+%28-+5%29%2F2\" <======= Correct
\n" ); document.write( "\"%28%281%2F2%29+%2A+2%29%5E2+=+1\" <======= Correct
\n" ); document.write( "\"a%5E2+%2B+2a+%2B+1+=+%28-+5%29%2F2+%2B+1\" <======= Correct
\n" ); document.write( "I must say, so far, I'm impressed
\n" ); document.write( "\"%28a+%2B+1%29%5E2+=+%28-+5%29%2F2+%2B+2%2F2\" <===== Correct
\n" ); document.write( "\"%28a+%2B+1%29%5E2+=+%28-+3%29%2F2\" <====== Correct
\n" ); document.write( "\"sqrt%28%28a+%2B+1%29%5E2%29+=+%22+%22%2B-sqrt%28-+3%2F2%29\"
\n" ); document.write( "\"a+%2B+1+=+%22+%22%2B-sqrt%28-+3%2F2%29\"
\n" ); document.write( "\"a+%2B+1+=+%22+%22%2B-+sqrt%283%2F2%29i\" <====== Correct
\n" ); document.write( "\"a+%2B+1+=+%22+%22%2B-+%28sqrt%283%29+%2A+sqrt%282%29%2F2%29+%2A+i\" =====> \"a+%2B+1+=+%22+%22%2B-+%28sqrt%286%29%2F2%29i\" =====> \"highlight%28highlight_green%28highlight%28a+=+-+1+%2B-+%28sqrt%286%29%2F2%29i%29%29%29\" \n" ); document.write( "
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