document.write( "Question 1015558: Please help me and show all steps. Thanks in advance. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Find all solutions of the equation x^2+4x+10=0 by completing the square. Express the soutions in the form a+bi: \r
\n" ); document.write( "\n" ); document.write( " First input the solution with b<0 here:
\n" ); document.write( " the real number a equals
\n" ); document.write( " and the real number b equals \r
\n" ); document.write( "\n" ); document.write( " Then input the solution with b>0 here:
\n" ); document.write( " the real number a equals
\n" ); document.write( " and the real number b equals
\n" ); document.write( "

Algebra.Com's Answer #631902 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
x^2+4x+10=0
\n" ); document.write( "x^2+4x=-10; move the constant to the right
\n" ); document.write( "x^2+4x+4=-10+4=-6. Complete the square, adding the number to both sides.
\n" ); document.write( "(x+2)^2=-6
\n" ); document.write( "x+2=sqrt (-6), take the square root of both sides.
\n" ); document.write( "x= -2+/- i (sqrt (6))
\n" ); document.write( "-2+ i sqrt(6); a= -1, b=1
\n" ); document.write( "-2- i sqrt(6); a= -2, b=-1
\n" ); document.write( "\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E2%2B4x%2B10%29\"
\n" ); document.write( "
\n" );