document.write( "Question 193128: Hi. I just started learning complex numbers and I need help understanding how
\n" ); document.write( "to do the following problems please=]\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "#1) 2x^2+9=-41\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "#2) 3s^2-1=7s^2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "#3) -6(u + 5)^2=120\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "#4) (2 - 6i)-(10 + 4i)\r
\n" ); document.write( "\n" ); document.write( "Thank You so much,
\n" ); document.write( "Lynda=]
\n" ); document.write( "

Algebra.Com's Answer #144968 by RAY100(1637)\"\" \"About 
You can put this solution on YOUR website!
remember sqrt (-1)=i\r
\n" ); document.write( "\n" ); document.write( "1) 2x^2+9=-41
\n" ); document.write( "2x^2=-50
\n" ); document.write( "x^2=-25
\n" ); document.write( "x=+/- 5i\r
\n" ); document.write( "\n" ); document.write( "2)3s^2-1=7s^2
\n" ); document.write( "-1=4s^2
\n" ); document.write( "-(1/4) =s^2
\n" ); document.write( "+/- (1/2) i =s\r
\n" ); document.write( "\n" ); document.write( "3) -6(u+5)^2=120
\n" ); document.write( "(u+5)^2=-20
\n" ); document.write( "u^2+10u+25=-20
\n" ); document.write( "u^2+10u+45=0
\n" ); document.write( "solve using quadratic eqn
\n" ); document.write( "a=1,,,b=10,,,,c=45
\n" ); document.write( "u= (-10 +/-sqrt ((10)^2-4(1)(45)))/2(1)
\n" ); document.write( "u= (-10+/-sqrt (100-180))/2
\n" ); document.write( "u= (-10+/-sqrt(-80))/2
\n" ); document.write( "u= (10+/-8.94i)/2
\n" ); document.write( "u=5+/-4.47i\r
\n" ); document.write( "\n" ); document.write( "4) (2-6i)-(10+4i)
\n" ); document.write( "(-8)-10i
\n" ); document.write( "
\n" );