document.write( "Question 429760: What are factors of -36 that when you add them it will equal -36 and when you multiply them you get -36 \n" ); document.write( "

Algebra.Com's Answer #298487 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
I'll say the factors are conjugate complex numbers
\n" ); document.write( " $\"+%28a+%2B+b%2Ai%29%2A%28a+-+b%2Ai%29+=+-36+\"$
\n" ); document.write( " $\"+2a+=+-36+\"$
\n" ); document.write( " $\"+a+=+-18+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+%28+-18+%2B+b%2Ai+%29%2A%28+-18+-+b%2Ai+%29+=+-36+\"$
\n" ); document.write( " $\"+324+-+b%5E2+%2A+i%5E2+=+-36+\"$
\n" ); document.write( " $\"+b%5E2+=+-360+\"$
\n" ); document.write( " $\"+b+=+6%2Asqrt%2810%29%2Ai+\"$
\n" ); document.write( "----------------
\n" ); document.write( " $\"+%28-18+-+6%2Asqrt%2810%29+%29%2A%28+-18+%2B+6%2Asqrt%2810%29%29+\"$
\n" ); document.write( " $\"+324+-+36%2A10+\"$
\n" ); document.write( " $\"+324+-+360+=+-36+\"$
\n" ); document.write( "The factors are
\n" ); document.write( " $\"+-18+-+6%2Asqrt%2810%29+\"$ and
\n" ); document.write( " $\"-+18+%2B+6%2Asqrt%2810%29+\"$
\n" ); document.write( " \n" ); document.write( "

\n" );